Answered: 37.) The volumes of two similar…

37.) The volumes of two similar rectangular prisms are 64 cm3 and 1000 cm3. The surface area of the smaller figure is 112 cm2. What is the surface area in square centimeters of the larger figure?

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

Section9.4: Polyhedrons And Spheres

Problem 16E: Find the total area surface area of a regular dodecahedron 12 faces if the area of each face is...

See similar textbooks

Related questions

Q: 4. Calculate the volume of this rectangular prism. 10 cm 10 cm 6 cm 34 cm 12 cm-

Q: 4. Find the length of the rectangular prism with volume 144 cm, width 4 cm and height 3 cm.

A: Queston 3,Given,

Q: The volumes of two spheres are in the ratio 64:27. The ratio of their surface areas will be?

A: Volume of sphere =43πr3Surface area of sphere =4πr2

Q: The volume of a frustum of a regular triangle pyramid is 135 cu. m. The lower base is an equilateral…

Q: 4. Find the volume of a three-sided pyramid with height h and base an equilateral triangle with side…

Q: 36.) What has a greater volume; two regular cans of soup, each diameter of 8 cm and height 14 cm, or…

Q: 19. What is the volume of a square pyramid whose length of one side of its base is 9 cm and whose…

A: Volume of pyramid problem.....

Q: What is the edge length of a cube with a volume of 1 L?

A: Volume of a cube is 1 L.

Q: 4. A cone has a slant height of 26 inches and a diameter of 48 inches. What is the volume of the…

A: Given slant height = 26 inches Diameter , d = 48 inches Volume , V = ?

Q: 12. How many box-shaped scoops 2 in x 2 in x 3 in ar. needed to fill an inverted pyramid shape that…

Q: 11) A cone with a volume of 120 cm' just fits inside a cylindrical box. What is the volume of the…

A: The volume of a cone is 120 cm3 The cone fits inside a cylindrical box To find the volume of the…

Q: 2. The length of a pipe is 50 cm and its inner and outer diameters are 20 cm and 30 cm respectively.…

A: It can be concluded by the dimensions that the pipe is in cylindrical shape.

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: 3. The volume of oblique prism with a pentagon base is 9000 cubic feet. and an edge of 150 feet…

A: Given- The volume =9000 ft3,length of the edge= 150 ft, θ=30°. To Find- The length of the side.…

Q: 4. A manufacturer wants to design an open box having a square base and a surface area of 1200 cm2.…

A: Given: A manufacturer wants to design an open box having a square base and a surface area of 1200…

Q: 3. The volume of an open box with a square base is 1,000 cm3. Find the dimensions of the box if the…

Q: 1. If the cube has a side lenght of 1 unit, what is the volume 2.) What is the surface area of the…

A: volume = no of cube*(volume of 1 cube) volume = 44*(1*1*1) volume = 44 unit3 now for surface area =…

Q: 3.A circular, 8-slice pizza is placed in a square box that has dimensions four inches larger than…

A: Let us assume that the pizza has a diameter of x inches Since the side of the square shaped pizza…

Q: What is the (a) curved surface area of the cone (the base is not included) if the radius is 10cm and…

A: We know that curved surface area of cone = πrl , here l is the slant height and r is the radius Area…

Q: 32.) What is the volume of a 6 foot high square pyramid with base edges of 8 feet?

A: Base = 8 feet height = 6 feet Volume of square pyramid = Area of base * height…

Q: 29 - If the diameter of a sphere is 14 crm, then what is the curved surface area (in cm?) of the…

Q: 6. Find the volume a rectangular pyramid with length 23 m, width 18 m, and height 11 m.

Q: 4. Find the ratio of the volumes of two similar figures in which the ratio of the pair of…

Q: 35.) What is the volume of a square pyramid with a base edge of 14 m and a slant height of 25 m?

Q: 2. If a cylinder is known to have a volume 25% greater than that of a sphere with an area of 576π…

Q: 10. Given that a racquetball can is 7 inches tall and 1.6 inches in diameter and contains three…

A: Given: A racketball can with height, h = 7 inches, and diameter, D = 1.6 inches. It contains three…

Q: 4) The base edge of a square pyramid is 12 cm. the slant height is 10 cm. Find the Volume of the…

Q: If the area of the base of the octagonal pyramid is 553.12 square feet and the height of the pyramid…

A: The formula for the volume of an octagonal pyramid is one-third of the product of the area of the…

Q: 1. Find the total area and volume of frustum of regular square pyramid, whose base have sides 10 cm…

Q: 20. If the length of a side of a cube is 3x2, what is the volume of the cube? What is the surface…

A: The detailed solution is given below Thank you

Q: A cube with edges of 2 cm holds 468 grains of rice. How many grains of rice are in a cylinder with a…

A: Answer

Q: 34 The side lengths of the base of a triangular prism are 5 meters, 8 meters, and 10 meters. The…

A: It is given that, Side lengths of the base of the prism are, a=5 meters b=8 meters c=10 meters and…

Q: 12. Find the volume of a right circular cylinder that can be circumscribed about a cube whose…

Q: I. Determine the length of face diagonal (d), length of diagonal of a solid (D), lateral surface…

Q: 1. The lateral area of a right cylindrical tank is 487 m² and its volume is 727 m³. Find the…

A: (1) Lateral surface of a cylinder with height h and base radius r is S=2πrh Volume of the same…

Q: 23.) What is the surface area, in square centimeters, of a rectangular prism 9 cm by 8 cm by 10 cm?

Q: The volume of the frustum of a regular triangular pyramid is 135 cu.m. The lower base is an…

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

A: Given:

Q: 8. If a cube has a surface area of 216 cm2, what is its volume? 729 cm3 216 cm3 54 cm3 36 cm3

Q: The volume of a frustum of a regular triangular pyramid is 135 cu.m. The lower base is an…

Q: 33.) What is the volume of a cone with a diameter of 21 m and a height of 4 m?

Q: Find the dimensions of the rectangular box with largest volume if the total surface area is given as…

A: We have to find

Q: What is the volume of an oblique cylinder that has a radius of 5 centimeters and a height of 22…

A: Consider a slanted cylinder with the following specification. The volume of such slanted cylinder…

Q: 27.) What is the volume of a rectangular prism whose edges measure 2 feet, 2 feet, and 3 feet?

A: The volume of a rectangular prism= Length * breadth * height…

Q: A regular square pyramid has lateral area of 60m^2 and base edge of 6m. What is its volume?

A: Given that, A regular square pyramid has lateral area of 60 m2 and base edge of 6 m. We have to find…

Q: 2. The volume of a right square pyramid with height 36 inches is 10,800 in3. What is its surface…

Q: 6. What is the volume of the square pyramid with base edges 4 m and height 3 m? 3 m 4 m 4 m 8 m3

Q: 2. A rectangular sheet of cardboard 8 m by 4 m is used to make an open box by cutting squares of…

A: Volume of cube = a3Volume of cuboid =l×b×hWhere l is length , b is breadth and h is height .

Q: . If the volume of a sphere is 36 cm3 . Find its surface area

Question

37.) The volumes of two similar rectangular prisms are 64 cm³ and 1000 cm³. The surface area of the smaller figure is 112 cm². What is the surface area in square centimeters of the larger figure?

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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 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?
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?
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?
For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and 6 m. The altitude is 7 m. a Find the lateral area of the prism. b Find the total area of the prism. c Find the volume of the prism.
Find the total area surface area of a regular dodecahedron 12 faces if the area of each face is 6.4cm2.
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?
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?
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.
Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?
A triangle has a base of 8.4 cm and a height of 12.5 cm. What is the area of the triangle?