SURFACE AREA AND VOLUME WORF PROBLEMS WORKSHEET

Problem 1 :

Savannah has a water bottle that is a rectangular prism. The bottle measures 7 centimeters by 5 centimeters by 18 centimeters and she filled it completely with water. Then, she drank 1/4 of the volume of water in her water bottle.

How many cubic centimeters of water were left in the water bottle?

Solution

Problem 2 :

A rectangular prism has a square base with edges measuring 8 inches each. Its volume is 768 cubic inches.

a) Find the height of the prism.

b) Find the surface area of the prism.

Solution

Problem 3 :

A triangular prism has the measurements shown.

a) Find the volume of the prism.

b) Find the surface area of the prism

Solution

Problem 4 :

The volume of Box A is 2/5 the volume of Box B. What is the height of Box A if it has a base area of 32 square centimeters?

Solution

Problem 5 :

The ratio of the length to the width to the height of an open rectangular tank is 10 : 5 : 8. The height of the tank is 18 feet longer than the width.

a) Find the volume of the tank.

b) Find the surface area of the open tank.

Solution

Problem 6 :

Janice is m aking a gift box. The gift box is a prism with bases that are regular hexagons, and has the dimensions shown in the diagram.

a) Find the height PQ of the prism.

b) Find the surface area of the prism.

Solution

Problem 7 :

Container A was filled with water to the brim. Then, some of the water was poured into an empty Container B until the height of the water in both containers became the same. Find the new height of the water in both containers.

Solution

Problem 8 :

A fish tank is 50 centimeters long, 30 centimeters wide, and 40 centimeters high. It contains water up to a height of 28 centimeters. How many more cubic centimeters of water are needed to fill the tank to a height of 35 centimeters?

Solution

Problem 9 :

Find the surface area of a square pyramid given that its base area is 196 square inches and the height of each of its triangular faces is 16 inches

Solution

Problem 10 :

The volume of a rectangular prism is 441 cubic feet. It has a square base with edges that are 7 feet long.

a) Find the height of the prism.

b) Find the surface area of the prism

Solution