SURFACE AREA AND VOLUME OF RECTANGULAR PRISM

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

Answer key

lateral surface area

1)  24 cm2

2)  120 ft2

3)  18 m2

4)  193.75 ft2

5)  91.3 yd2

Total surface area

1)  34 cm²

2)  160 ft²

3)  54 m²

4)  303.75 ft²

5)  122.1 yd²

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

Answer key

1) 900 cubic feet

2)  V = 120 ft³

3)  V = 192 ft³

4)  V = 480 ft³

5)  V = 24 ft³

6)  V = 240 cubic cm

7) V = 160 ft³

8) V = 5 m³

9)  V = 288 m³

10)  V = 36 ft³

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