Question

VPQRS is a rectangle based pyramid were PQ=10 cm and QR=6cm. Given that the volume of the pyramid is 100cm square, find its height

Answer 1

The Height of the rectangular based triangle (h) = 5cm.

Step-by-step explanation:

Let us consider a rectangular based triangle PQRS.

The length of the rectangular based triangle PQ(l) = 10cm.

The width of the rectangular based triangle QR(w)= 6cm.

The Height of the rectangular based triangle (h) =?

The volume of the rectangular based triangle (V) = 100 cm.

The formula for  volume of the rectangular based triangle V=$\frac{(l)(w)(h)}{3}$.

⇒100 =$\frac{(10)(6)(h)}{3}$.

300=60(h).

h=5cm.

∴ The Height of the rectangular based triangle (h) = 5cm.