Question

A rectangular block has 5 metres,6 metres and 7 metres as length, width and height respectively. If the sides of the block are extended by the same measure, 8 metres, what is the volume of the new rectangular block?

• A. 2748 cubic metres
• B. 2738 cubic metres
• C. 2740 cubic metres
• D. 2730 cubic metres

Answer 1

The correct option is D

2730 cubic metres

Let 'x' be the measure by which the sides have been extended.

New dimensions are:(x+5) m, (x+6) m and (x+7) m

Volume =$length\times width\times height$

Volume of the new rectangular block $=(x+5)(x+6)(x+7)$

Plug in $x=8$

Volume of the new rectangular block $=(8+5)(8+6)(8+7)$
$=\left(13\right)\left(14\right)\left(15\right)$
$=2730$ cubic metres