Question

Each side of a cube is measured to be 5.402 cm. The total surface area and the volume of the cube in appropriate significant figures are :

• A. 175.1 $\mathrm { cm } ^ { 2 }$ , 157 $\mathrm { cm } ^ { 2 }$
• B. 175.1 $\mathrm { cm } ^ { 2 }$ , 157.6 $\mathrm { cm } ^ { 3 }$
• C. 175 $\mathrm { cm } ^ { 2 }$ , 157 $\mathrm { cm } ^ { 2 }$
• D. 175.08 $\mathrm { cm } ^ { 2 }$ , 157.639 $\mathrm { cm } ^ { 3 }$

Answer 1

Answer: (B)

175.1 $\mathrm { cm } ^ { 2 }$ , 157.6 $\mathrm { cm } ^ { 3 }$

Answer 2

Total surface area = $6 \times ( 5.402 ) ^ { 2 } = 175.09 \mathrm {~cm} ^ { 2 }$ $= 175.1 \mathrm {~cm} ^ { 2 }$ (Upto correct number of significant figure)

Total volume $= ( 5.402 ) ^ { 3 } = 175.64 \mathrm {~cm} ^ { 3 }$ $= 175.6 \mathrm {~cm} ^ { 3 }$ (Upto correct number of significant figure).