Question

With chocolate costing ₹2 per cu in, calculate the cost required to build a pyramid shaped chocolate of given dimensions as shown.

• A. ₹440
• B. ₹482
• C. ₹576
• D. ₹588

Answer 1

The correct option is C ₹576

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
= 2 $\times$ 288
= ₹576