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Hotmath Practice Problems

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Title:
Hotmath Grades 6 & 7 Math
Author:
Hotmath Team
 
Free
Chapter:Geometry in SpaceSection:Exercises
 

Problem: 1

Is the solid a triangular prism, a rectangular prism, or a cylinder? Find its height. Also find the number of faces, if the solid is a prism.

 

Problem: 2

Draw a rectangular prism with a base of 6 inches by 4 inches and a height of 6 inches.

 

Problem: 3

Check the formula F + VE = 2, where F is the number of faces, V is the number of vertices, and E is the number of edges, for the polyhedron shown.

 

Problem: 4

Convert the formula F + VE = 2 to the form of F + V = E + 2. Find the number of faces of the polyhedron with 9 vertices and 16 edges.

 

Problem: 5

Find the volume of the rectangular prism shown.

 

Problem: 6

Find the volume of the rectangular prism whose length of the sides are 6 feet, 9 feet, and 122/3 feet.

 

Problem: 7

Find the volume of the prism shown.

 

Problem: 8

The object shown in the figure is in the shape of a rectangular prism. Find its approximate volume.

 

Problem: 9

If the length of the side of a cube is 5x inches, find an expression in terms of x for the volume of the cube.

 

Problem: 10

If a triangular prism has a volume of 2842 cubic meters and one of its triangular bases has an area of 14 square meters and a height of 9 meters, find the height of the prism.

 

Problem: 11

Determine the volume. Use π 3.14 and round to three digits.

 

Problem: 12

Find the base area of the cylinder shown in the figure.

 

Problem: 13

How long does it take to drain the drum if it drains at a rate of 15 gallons per minute? Explain your answer.

 

Problem: 14

Calculate the volume of the cylinder shown in the figure.

 

Problem: 15

Determine the volume of the solid shown in terms of π.

 

Problem: 16

Determine the mass of a gold block 20 cm by 40 cm by 80 cm.

 

Problem: 17

Find the total surface area of a box with dimensions 3 m by 6 m by 7 m.

 

Problem: 18

Find the total surface area of the prism shown.

 

Problem: 19

Find the total surface area of the figure shown. Take π 3.14 and round the answer to three digits.

 

Problem: 20

Calculate the approximate surface area of the solid shown in the figure.

 

Problem: 21

Calculate the approximate surface area of the solid shown in the figure.

 

Problem: 22

Obtain the surface area of the given cylinder. Round your answer to the nearest tenth. Use 3.14 for π.

 

Problem: 23

Calculate the base area, lateral surface area, and total surface area of the cylinder with

Use π 3.14.

 

Problem: 24

Calculate the base area, lateral surface area, and total surface area of the cylinder with the given dimensions.

Use π 22/7.