A vegetable bin built in the form of a cube with an edge of 8 ft. is divided by a vertical partition so as to form 2 triangular prism equal in volume. What is the dimension of the diagonal (the vertical partition) ? (show the units on your solution to be send via the essay part.)

A vegetable bin built in the form of a cube with an edge of 8 ft. is divided by a vertical partition so as to form 2 triangular prism equal in volume. What is the dimension of the diagonal (the vertical partition) ? (show the units on your solution to be send via the essay part.)

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

Section9.3: Cylinders And Cones

Problem 36E: For a right circular cone, the slant height has a measure equal to twice that of the radius length...

See similar textbooks

Related questions

Q: A 22-ft by 28-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the…

A: Walkway width is:-

Q: The volume of a sphere is 2,240 yards ^3. What will be the new volume if the dimensions are…

Q: he volume of a cylinder in terms of pi with a radius of 3 mm and height of 10 mm is 90π mm3. True…

Q: a sphere inscirbed in a right circular cone whose slant height has a length equal to the diameter of…

Q: hat would happen to the volume of the cone if the radius of its base is tripled and the height is…

A: Given that: A cone

Q: The volume of a cubic solid with side length of 4 cm is 43 cm3. True or False?

Q: Two similar pyramids have lateral areas 8 ft 2 and 18 ft 2 If the volume of the smaller pyramid is…

A: If we let "s" be the length of a side in the smaller pyramid and "S" be a length of a corresponding…

Q: An open box is to be made by cutting small squares from the corners of rectangular board and then…

A: let "x" be the length of the side of the square cut.Length= 8-2xWidth = 6-2xHeight =xVolume =…

Q: What is the volume of a regular hexagonal pyramid with base side length of 6 cm, apothem of 5.2 cm,…

Q: A shipping container is in the shape of a right rectangular prism with a length of 11.5 feet, a…

Q: THE VOLUME OF A RIGHT PRISM WHOSE HEIGHT IS 6 cm IS 371.61 cu.m. EACH BASE HAS 5 EQUAL SIDES. WHAT…

Q: A shipment of 10 tons of sugar is seperated into conatiners of equal size. If a shipment fills 6 3/7…

A: Find the Quantity of one sugar can container hold.

Q: A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut…

Q: A shipping container is in the shape of a right rectangular prism with a length of 14 feet, a width…

A: Mensuration Question

Q: A gusset is the shape of a right triangular prism. If the right triangular base has dimensions 3.0…

A: Given: Of a triangular prism, the right triangular base has dimensions 3.0 in. by 4.0 in by 5.0 in.…

Q: Find the volume of a cone with a base circumference of 19π cm and a height 6 cm less than twice the…

A: base of the cone is circle

Q: If the volume of the a cube is 125 cu- bic m. Find its side?

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Two spheres have surface areas of 36cm squared and 49 cm squared. If the volume of the smaller…

A: Surface area of smaller sphereA1 is 36 cm2. Surface area of larger sphereA2 is 49 cm2. Consider the…

Q: the volume of a sphere whose radius is 2cm is four times that of a sphere whose radius is 1cm true…

A: Given, The volume of a sphere whose radius is 2 cm is four times that of a sphere whose…

Q: A grain silo can be modeled as a right cylinder topped with a hemisphere. Find the volume of the…

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: The volume of a tetrahedron with the side length of 6 inches is what?

A: The volume of a regular tetrahedron is given by where is the edge length. The edge of the…

Q: A rectangular box with a volume of 720 ft is

A: The volume of the rectangular box is 720 ft3. From the provided diagram, the height of the box is y…

Q: If the length of the side of a cube is 3x, what is the volume of the cube? What is the surface area…

A: Given, The length of the side of a cube is 3x.To find : What is the volume of the cube?…

Q: a piece of wire 72cm long is cut into two unequal parts. each part is bent to form a square if the…

A: Assume a be the length of the smaller wire and b is the length of the bigger wire. so b>a,

Q: If 1200 cm? of material is available to make a box with a square base and an open top, find the…

A: Given, material available = 1200 cm2 Let's assume the sides of the square base = a Height of the…

Q: A cylinder has a height of 12 in. and a radius of 4 in. How can you change the radius of the…

A: Given the height of a cylinder h=12inch and radius of the cylinder r=4inch We need to find the…

Q: The base of a right prism is a rhombus one side of which is 10 cm, and the shorter diagonal is 12…

A: We will find the volume of the right angle prism in the following step.

Q: A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in long are cut…

A: Given: Volume of box = 374

Q: A building in the shape of a cube has a width of 63 ft., a length of 63 ft., and a height of 63 ft.…

A: Given:

Q: a rectangular prism tank has a base with a length of 40 inches a width of 35 inches and a height of…

Q: A glass fish tank in the shape of rectangular prism has a base that meausres 22 inches by 12 inches.…

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

A: Given query is to find the perimeter of the triangular Prism.

Q: A cube has a volume of 512 in3. Wht is the length of each side of the cube?

Q: The volume of a triangular pyramid is 300 cubic meters. What is the area of the pyramid's base if…

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: A square base prism and a cylinder both have the same height of 4 cm in the same base area if the…

Q: An open box is to be made from a square piece of married by cutting 4 cm squares from each corner…

A: Given, The volume of the finished box is 324 cm3.The side of the cutting squares is 4 cm.To find the…

Q: The gasoline tank on an automobile is “box-shaped" with dimensions of 24 in. by 20 in. by 9 in. What…

A: Given: The tank is box shaped. The dimensions of tank are 24 in. by 20 in. by 9 in.

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: When the length of each edge of a cube is increased by 1 cm, the volume is increased by 61 cm³. What…

Q: . A rectangular piece of cardboard measuring 24cm by 30cm is to be made into an open top box by…

Q: A cubic material is to be made by welding 6 square metal sheets each has a side of 3.5ft and a…

A: Let's find cost of construct the cube.

Q: A prism has a volume of 160 cubic units. if the base has an area of 40 square units, how tall is the…

A: Given: Volume of prism=160 unit3 Base area=40 unit2 The objective is to find the height of the…

Q: The surface area of a right rectangular prism is 228 cm?. If the base is 4 cm x 6 cm, what is the…

Q: The volume of a sphere is 2,240 yd³. What will be the new volume if the dimensions are multiplied by…

A: First find radius and multiply by one fourth then use volume formula

Question

A vegetable bin built in the form of a cube with an edge of 8 ft. is divided by a vertical partition so
as to form 2 triangular prism equal in volume.
What is the dimension of the diagonal (the vertical partition) ? (show the units on your solution
to be send via the essay part.)

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

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?
A cereal box measures 2 in. by 8 in. by 10 in. What is the volume of the box? How many square inches of cardboard make up its surfaces? Disregard any hidden flaps.
When the length of each edge of a cube is increased by 1 cm, the volume is increase by 61 cm3. What is the length of each edge of the original cube?
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?
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?
Find the volume and the surface area of a closed box that has dimensions of 9 in., 10 in., and 1 ft.
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?
The numerical value of the volume of a cube equals the numerical value of its total surface area. What is the length of each edge of the cube?