Question

Find the first step where the error occurs while calculating the volume of the shape given below.

• A. Step 3: Volume of the solid = 1 $\times$ 8 = 8
• B. Step 1: No. of unit cubes in the base layer = 4 $\times$ 2 = 8
• C. Step 2: No. of unit cubes in the entire solid = 8 $\times$ 1 = 8
• D. No error

Answer 1

The correct option is C Step 2: No. of unit cubes in the entire solid = 8 $\times$ 1 = 8

No. of unit cubes in the base layer
= No. of unit cubes along the length $\times$
No. of unit cubes along the breadth
= 4 $\times$ 2
= 8

No. of such layers = 2

Total no. of unit cubes in the entire solid
= No. of unit cubes in the base layer $\times$
No. of such layers
= 8 $\times$ 2
= 16

Volume of the solid
= Total no. of unit cubes $\times$
Volume of a unit cube
= 16 $\times$ 1 cu unit
= 16 cu units

Thus, the first error was in step 2, where the answer should be 8 $\times$ 2 = 16 as there are two layers with 8 unit cubes in the given solid.