SURFACE AREA AND VOLUME OF RECTANGULAR PRISM WORKSHEET

Find the 

(i) Lateral surface area and 

(ii)  Total surface area of the following rectangular prism.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 : 

Solution

Problem 6 : 

A rectangular room is 12 feet by 21 feet. The walls are 8 feet tall. Paint is sold in one gallon containers. If a gallon of paint covers 450 square feet, how many gallons of paint should poloma buy to paint the walls of the room ?

Solution

Problem 7 : 

The scale factor of prism X to prism Y is 2/3. What is the ratio of the surface area of prism X to the surface area of prism Y.

Solution

Problem 8 : 

The greater the surface area of an ice block, the faster it will melt. Which will melt faster, the bigger block or the three smaller blocks? Explain your reasoning.

Solution

Word problems on rectangular prism

Problem 1 :

A water tank that is rectangular in shape is 15 feet long. 10 feet wide, and 6 feet deep. What is the volume of the water tank?

a)   900 cubic feet    b)   600 cubic feet

c)   300 cubic feet    d)   90 cubic feet

Solution

Problem 2 :

What is the volume of the truck bed which is 10 feet long, 4 feet wide, and has a height of 3 feet?

a)   40 cubic feet     b)   12 cubic feet

c)   30 cubic feet     d)   120 cubic feet

Solution

Problem 3 :

John has a fish tank at home. The tank is rectangular in shape and has dimensions of 8 feet x 6 feet × 4 feet. What is the volume of the tank?

a)   92 cubic feet    b)   192 cubic feet

c)   24 cubic feet     d)   48 cubic feet

Solution

Problem 4 :

How much water is needed to fill a water tank that is 15 feet long, 8 feet wide and 4 feet deep?

a)   60 cubic feet            b)   32 cubic feet

c)   480 cubic feet          d)   120 cubic feet

Solution

Problem 5 :

Kelly bought a new rectangular cage for her pet. What is the volume of the cage if it is 4 feet long, 3 feet wide, and 2 feet high?

a)   20 cubic feet          b)   24 cubic feet

c)   18 cubic feet          d)   32 cubic feet

Solution

Problem 6 :

A juice box measures 6 cm by 4 cm by 10 cm. What is the volume of the juice box?

a)   240 cubic centimeters    b)   40 cubic centimeters

c)   60 cubic centimeters       d)   24 cubic centimeters

Solution

Problem 7 :

What is the volume of the rectangular shaped box which measures 8 feet long, 4 feet wide, and 5 feet deep?

a)   40 cubic feet        b)   120 cubic feet

c)   160 cubic feet      d)   32 cubic feet

Solution

Problem 8 :

Find the volume of a prism that is 5 m long, 40 cm wide, and 2500 mm high.

a)   50 cubic meters            b)   200 cubic meters

c)   500 cubic meters          d)   5 cubic meters

Solution

Problem 9 :

What is the volume of the rectangular shaped box which measures 12 m long, 6 m wide, and 4 m deep?

a)   144 cubic meters      b)   72 cubic meters

c)   24 cubic meters        d)   288 cubic meters

Solution

Problem 10 :

What is the volume of the rectangular shaped box which measures 6 feet long, 3 feet wide, and 2 feet deep?

a)   32 cubic feet    b)   18 cubic feet 

c)   36 cubic feet    d)   16 cubic feet

Solution

Problem 11 :

What is the volume of the rectangular shaped box which measures 6 feet long, 3 feet wide, and 2 feet deep?

a)   32 cubic feet    b)   18 cubic feet 

c)   36 cubic feet    d)   16 cubic feet

Solution

Find the total surface area of rectangular prisms given.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Find the surface area of a rectangular prism that has a length of 8 inches, a width of 3 inches, and a height of 6 inches.

Solution

Problem 7 :

A box that is 15 inches wide, 25 inches high, and 2 inches thick is to be wrapped in gift paper. How many square inches of gift paper are needed?

Solution

Problem 8  :

Find the indicated area for the rectangular prism.

a)  Area of Face A

b)  Area of Face B

c)  Area of Face C

d) Surface area of the prism

Solution

Problem 9  :

What is the least amount of wrapping paper needed to wrap a gift box that measures 8 inches by 8 inches by 10 inches? Explain.

Solution

Problem 10  :

A public library has an aquarium in the shape of a rectangular prism. The base is 6 feet by 2.5 feet. The height is 4 feet. How many square feet of glass were used to build the aquarium? (The top of the aquarium is open.)

Solution

Problem 11  :

The material used to make a storage box costs $1.25 per square foot. The boxes have the same volume. How much does a company save by choosing to make 50 of Box 2 instead of 50 of Box 1?

Solution