SURFACE AREA AND VOLUME OF RECTANGULAR PRISM WORD PROBLEMS WORKSHEET

Problem 1:

The lateral surface area of a cuboid whose length, width  and height are 2a, 2b and 2c respectively is

a)  2(ab + bc + ca)    b)  4(ab + bc + ca)

c)  8(a + b) c     d)  none of these

Solution

Problem 2 :

The sum of the areas of all faces (excluding top and bottom) of a cuboid is the ___________ of the cuboid.

a) Volume      b) lateral surface area

c) Total surface area     d) none of these

Solution

Problem 3 :

The volume of a cuboid whose length, breadth and height are 2a, 3a and 4a is

a)  24a²    b)  24a³     c) 12a³     d) none of these

Solution

Problem 4 :

Find the height of a cuboid whose volume is 756 cm³ and base area is 63 cm²?

Solution

Problem 5 :

The dimension of a cuboid are in the ratio of 2:3:4 and its total surface area is 280 m². Find the dimensions.

Solution

Problem 6 :

A cuboid is 40 cm × 20 cm × 10 cm. what would be the side of a cube having the same volume?

a) 20 cm     b) 40 cm    c) 10 cm    d) 30 cm

Solution

Problem 7 :

A cuboid has a volume of 3000 cm³, with height 15 cm and length 20 cm. Find the area of the upper surface.

Solution

Problem 8 :

The sum of length, breadth and depth of a cuboid is 19 cm and the diagonal is 5√5. Find its surface area.

Solution

Problem 9 :

Three cubes with sides in the ratio 3:4:5 are melted to form a single cube whose diagonal is 12√3 cm. find the sides of the cube.

Solution

Problem 10 :

The bottom of a tank measures 50 m × 40 m. Find its depth if it contains 4000 m³ of water.

Solution

Problem 11 :

The volume of a rectangular prism whose length, breadth and height are 2a, 3a and 4a is.

a) 24a²        b) 24a³        c) 12a³      d) none of these

Solution

Problem 12 :

The surface area of a cuboid is 1372 sq. cm. If its dimensions are in the ratio of 4 : 2 : 1, find the volume.

Solution

Problem 13 :

The volume of a rectangular prism is 24 ft³, the height is 2, what are three possible measures for the length and width of the prism?

Solution

Problem 14 :

A box of tissues has a length of 11.2 cm, a width of 11.2 cm and a height of 13 cm. What is the volume of the tissue box ?

Solution