FINDING TOTAL SURFACE AREA OF A RECTANGULAR PRISM WORKSHEET

Problem 1 :

find-total-surface-area-q1

Solution

Problem 2 :

find-total-surface-area-q2

Solution

Problem 3 :

find-total-surface-area-q3

Solution

Problem 4 :

find-total-surface-area-q4

Solution

Problem 5 :

find-total-surface-area-q5

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

Answer Key

1)   94 cm2

2)  352 in2

3)  775 cm2

4)  49.5 feet2

5)  SA = 150 cm2

6)  45 inches2

7)  227.5 inches2

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

Answer Key

1)   8c(a + b)

2)  lateral surface area 

3)  V = 24a³

4)  h = 12 cm

5)  length = 4.6 m, Breadth = 6.9 m and Height = 9.2 m

6)  a = 20 cm

7)  200 cm²

8) 236 cm²

9) 6 cm,  8 cm, 10 cm

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