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.

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=
`((l)(w)(h))/(3)`.

⇒100 =
`((10)(6)(h))/(3)`.

300=60(h).

h=5cm.

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