Question

With chocolate costing $0.3 per cu in, calculate the cost required to build a pyramid shaped chocolate of given dimensions as shown.

• A. $44
• B. $48.2
• C. $57.6
• D. $58.8

Answer 1

The correct option is D $58.8

We know,
Volume of the pyramid is one third of the product of area of its rectangular base and height.
i.e,
$\text{Volume of pyramid =}\frac{1}{3}\times \text{area of base}\times \text{height}$

Since the base of the pyramid is rectangular,
Area of rectangular base = length x width
$=12\times 8$
$=96sq.in$

Height = 9 in

$\text{Volume of pyramid =}\frac{1}{3}\times 96\times 9$
$=288cu.in$
∴The cost of building a pyramid shaped chocolate of volume 288 cu.in is:
= 0.2$\times$ 288
= $57.6