A vegetable bin built in the form of a cube with an edge of 6 ft. is divided by a vertical partition which passes through two diagonally opposite edges. Find the lateral surface of either compartment.

A vegetable bin built in the form of a cube with an edge of 6 ft. is divided by a vertical partition which passes through two diagonally opposite edges. Find the lateral surface of either compartment.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 2CR: The base of a right prism is a triangle whose sides measure 7cm, 8cm and 12cm. The altitude of the...

See similar textbooks

Related questions

Q: Given the lateral surface area of a right circular cylinder which is 54n cm² and its height is 9 cm,…

A: The lateral surface area is given as 54π cm2 and height h is given as 9 cm. The lateral surface area…

Q: A car's windshield is isosceles trapezoid in shape. The median is 5.5 ft and one of its legs…

Q: A rectangular parcel of land is 70 ft. longer than it is wide. Each diagonal bewteen opposite…

Q: 1. Find the volume and total area of a rectangular parallelepiped which is 15 ft high and the side…

A: Explanation of the answer is as follows

Q: The surface area of a right rectangular prism is 5,422 in. If the base is 23 x 31, find the height.…

Q: In a frustum of a right circular cone, the radius of the lower base is 15ft, while the diameter of…

Q: The base of a right prism is a triangle whose sides measure 7 cm, 8 cm, and 12 cm. The altitude of…

A: Given: The base of a right prism is a triangle whose sides measure 7 cm, 8 cm and 12 cm. The…

Q: An ice cream cone has a surface area of 306 cm2 and radius of 5 cm what is the slant height, to the…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: A prism with height 2 m and a pyramid with height 5 m have congruenttriangular bases. Find the ratio…

A: Volume of Prism = area of base of prism × height i.e. , = A×2 (Let A…

Q: A rental truck has a cargo capacity of 288 ft3. A 10-ft pipe just fits resting diagonally on the…

Q: What is the surface area of a rectangular solid (also called a right rectangular prism) whose height…

A: Here we have a rectangular solid. Rectangular solid is also known as Right rectangular prism. We…

Q: The Great Pyramid of Giza has a square base which measures 230 m on each side. The slant height of…

A: The square pyramid consist of a square base and 4 side triangles. But only the triangles are…

Q: Find the total surface area of a frustum of a right square pyramid whose upper and lower base edges…

A: To find out the total surface area of a frustum of a right square pyramid.

Q: The bases of a right prism is a hexagon with one of each side equal to 6 cm. The bases are 12 cm…

Q: A window consists of a rectangle surmounted by a semicircle. If the perimeter of the window is 32…

A: Given is the window consists of a rectangle surmounted by a semicircle of perimeter 32ft. Consider…

Q: A trapezoid has area 54 and height 6. How long is its median?

A: Given: Area of trapezoid =54 Height of trapezoid =6

Q: A sphere is designed to have a volume of 500 cm3, to the nearest 10 cm3. Find the boundaries…

A: Volume of sphere=43πr3If V is to be rounded off to 500, to the nearest 10,then, minimum value of V =…

Q: A rhombus has sides of length 6 inches and the diagonals of length of 4 inches and 11 inches. What…

A: Given:

Q: The base of an oblique prism is a trapezoid whose bases measure 5 cm and 8 cm. The height of…

A: The trapezoid based oblique Prism. JE = 10cm (center to center distance) 4cm = base height…

Q: The army squad tent shown in the figure has a roof with trape- zoidal sides whose bases form a rec-…

A: The army squad tent shown in the figure has a roof with trape- zoidal sides whose bases form a rec-…

Q: Which is greater, the surface area of a cone of height 10 and radius 20 or the surface area of a…

A: The dimensions of first cube: Height is h1=10 units Radius is r1=20 units The dimensions of second…

Q: A square plot of land has a building 60 ft long and 40 ft wide at one corner. The rest of the land…

A: The building will cover an area about 60×40=2400 sq ft. The parking lot covers an area about 12000…

Q: The volume of a circular cylinder is 1280A m³, and its height is 5 m. What is the radius of its…

Q: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…

A: Given: A sphere is inscribed in a cone whose slant height equal to diameter =12 cm

Q: The base area of a square based prism is 25 ft.² one of the lateral side faces of the prism is 30…

A: Given query is to find the total surface area of the prism.

Q: The base area(lower/larger) bounded by the decagon and the circle is 3476.5386 sq.in. The radius of…

A: Given:- r1=33.24 and radius r2=44.75 and height h=61.85 Now, Volume of the frustum of the cone…

Q: The sphere of radius 8cm is cut by two parallel planes, one passing 2cm from the center and the…

Q: When the radius of a sphere is doubled, the volume of the new sphere is as large as the volume of…

A: The new radius is 2r now, So, the new volume will be: V=43π(2r)3=43π(8r3)=843πr3=8(old volume)

Q: The base area(lower/larger) bounded by the decagon and the circle is 3476.5386 sq.in.. The radius of…

A: A conical Frustum is the part of cone obtained when a plane cuts the cone into two parts. The upper…

Q: A can buoy is to be made of three pieces, namely, a cylinder and two equal cones, the altitude of…

A: A can buoy is to be made of three pieces, namely, a cylinder and two equal cones, the altitude of…

Q: The lateral edge of a square prism is 20cm long and it is inclined at an angle of 60 degrees with…

Q: A prism has a volume of 213 ft3. what is the volume of a pyramid that has the same base and height…

Q: What fraction of the volume of the pyramid must be cut off by a plane parallel to the base so that…

A: Here What fraction of the volume of the pyramid must be cut off by a plane parallel to the base…

Q: A sphere is cut by two parallel planes 3 cm apart, in such a way that the radius of the upper…

A: Given , A sphere is cut by two parallel planes 3 cm apart, in such a way that the radius of the…

Q: For a given box, the height measures 4 m. If the length of the rectangular base is 2 m greater than…

A: The height of the box is 4 m. Length of the rectangular base is 2 m greater than the width of the…

Q: What is the volume of the parallelepiped with the sides i, 8j-k, and 9i+7j-k?

A: Given that, Find the volume of parallelepiped.

Q: A sphere has radius 2 and a hemisphere ("half" a sphere) has radius 4. Compare their volumes.

A: Volume of sphere=43πr3Volume of hemisphere=23πr3

Q: The heigh of a sqare pyramid is 21 cm, the length of the sides of the square is 40 cm. What are the…

Q: Calculate the total area of a right prism knowing that its bases are rhombuses with diagonals D=26cm…

Q: A square plot of land has a building 80 ft long and 20 ft wide at one corner. The rest of the land…

A: Let x be the side of the square land area.

Q: A vegetable bin built in the form of a cube with an edge of 8 ft. is divided by a vertical partition…

A: We will find the lateral surface area

Q: The front and back of a storage shed are shaped like a triangle with a base of 4 ft and a height of…

Q: The bases of a right prism is a hexagon with one of each side equal to 8 cm. The bases are 15 cm…

Q: Two similar cones have volumes 12π and 96π. If the lateral area of the smaller cone is 15π, what is…

A: since the cones are similar so l1l2 = r1r2 the the volumes are v1=12π unit3 , v2=96π unit3 so curved…

Q: Find the volume of the cone given its radius is 4 cm and its slant height of 6 cm. If necessary,…

A: Given query is to find the volume of the cone.

Q: Suppose the area of the base of a pyramid is 112 ft2 and its lateral surface area is 198 ft2. What…

A: Given, Area of the base of the pyramid = 112 square feet Lateral surface area of the pyramid = 198…

Q: The volume of a right circular cone is 967 in'. If the radius of the base measures 6 in., find the…

A: Since, we have been given that the volume of a right circular cone is 96π inch3.Also, we have been…

Q: What is the volume of the largest cone having its circular base circumscribed about a face of a…

A: Given: Diamensions of rectangular parallelepiped are 2ft by 3ft by 4ft. To determine: Volume of the…

Question

A vegetable bin built in the form of a cube with
an edge of 6 ft. is divided by a vertical partition
which passes through two diagonally opposite edges.
Find the lateral surface of either compartment.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Prisms$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

The base of a right prism is a triangle whose sides measure 7cm, 8cm and 12cm. The altitude of the prism measures 11cm.calculate the lateral area of the right prism.
For compactness, the drop-down wheels of a stretcher or gurney are folded under it as shown. In order for the boards upper surface to be parallel to the ground when the wheels are dropped, what relationship must exist between AB and CD?
A baseball diamond is really a square with sides of 90 feet. How far is it from home plate to second base, as shown?
Each side of square RSTV has length 8. Point W lies on VR- and point Y lies on TS- in such a way to form parallelogram VWSY, which has an area of 16units2. Find the length of VW-.
Find the area and the perimeter of a rhombus whose diagonals have lengths 18 in. and 24 in.
If the tank in Exercises 41 needs to be painted and 1 pint of paint covers 50ft2, how many pints are needed to paint the exterior of the storage tank? A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can hold 7.5 gallon of gasoline, what is the total storage capacity of the tank measured in gallons?
The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?
For a right circular cone, the slant height has a measure equal to twice that of the radius length of the base. If the total area of the cone is 48in2, what are the dimensions of the cone?
Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?
As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in. are cut from the corners of a rectangular piece of poster board that is 20 in. wide by 30 in. long. Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?
In trapezoid ABCD, AB=7 ft and DC=13 ft. If the area of trapezoid ABCD is 60 ft2, find the length of altitude AE. _