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Hotmath Practice Problems

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Title:
Hotmath Pre-Algebra
Author:
Hotmath Team
 
Free
Chapter:Areas and VolumesSection:Volumes of Prisms and Cylinders
 

Problem: 1

Find the height of the right prism.

 

Problem: 3

Find the base area of the right cylinder.

 

Problem: 5

Find the volume of the right rectangular prism.

 

Problem: 7

Compute the volume of the given solid.

 

Problem: 9

Find the volume of the prism.

 

Problem: 11

Find the volume of the right cylinder.

 

Problem: 13

Compute the volume of the given solid.

 

Problem: 15

Compute the volume of the given solid. Round to the nearest tenth.

Rectangular prism: length 2.3 cm, width 1.5 cm, height 5.7 cm

 

Problem: 17

Determine the capacity in liters of a square prism having the dimensions of 15 cm by 15 cm by 70 cm.

 

Problem: 19

Determine the capacity in liters of a cylinder with base radius 2.1 m and height 2.6 m.

 

Problem: 21

Compute the volume of the given solid. Round to the nearest tenth.

Circular cylinder: radius 12 yd, height 13 yd


Problem: 23

Compute the volume of the given solid. Round to the nearest tenth.

Circular cylinder: diameter 2.2 m, height 3.1 m


Problem: 25

Find the height of the right prism given that its volume V = 36 in.3.

 

Problem: 27

Find the height of a pentagonal prism, if its base area is 2.51 cm2 and its volume is 7.32 cm3.

 

Problem: 29

Complete the given table of data about cylinders by finding the values of the unknowns in terms of π.

 

Problem: 31

Complete the given table of data about cylinders by finding the values of the unknowns in terms of π.

 

Problem: 33

Sketch and label the indicated rectangular prism. Then find its volume.

Length: 1 in., Width: 2 in., Height: 6 in.

 

Problem: 35

Determine the volume of the prism, if the given pattern were folded.

 

Problem: 37

The volume of a box is 3360 cubic inches. Its length is 14 inches and width is 15 inches. What is the height of the box?

 

Problem: 39

Calculate the volume of the given solid.

 

Problem: 41

Determine the volume of the solid. All the prisms are right, and those with four sided bases are rectangular.

 

Problem: 43

Firewood is usually sold in cords. What is the volume of a full cord, if the full cord is a stack of 6 5 4 feet or 3 5 8 feet?

 

Problem: 45

In the figure, two stacks of paper with equal number of sheets are given. The first stack is a right prism and the second forms an oblique prism. The stacks have the same height, base and volume. Obtain the volume of the oblique prism.