Question

With chocolate costing ₹5 per cu in, the cost required to build a pyramid shaped chocolate of given dimensions is .

• A. ₹ 380
• B. ₹360
• C. ₹420
• D. ₹440

Answer 1

The correct option is C ₹420

We know,
Volume of the pyramid is one third of the product of area of its 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 square,
Area of square base = side x side
$=6\times 6$
$=36\text{sq in}$

Height of pyramid = 7 in

$\text{Volume of pyramid =}\frac{1}{3}\times 36\times 7$
$=84\text{cu in}$

$\therefore$The cost of building a pyramid shaped chocolate of volume 84 cu. in = 5 $\times$ 84
= ₹420