solid mensuration

posted by .

The base of a right prism is a rhombus whose sides are 20cm and the shorter diagonal is 24in..find the area pls.

• solid mensuration -

The diagonals of a rhombus bisect each other at right angles.
You should see 4 identical right-angled triangles
let the missing side in each of those triangles be x

x^2 + 12^2 = 20^2
x = 16
So the longer diagonal is 32

Area of rhomus = (1/2)(product of diagonals)
= ...

• solid mensuration -

where did u get the 12?because the sides are centimeter and the other diagonal is inches?

• solid mensuration -

Didn't notice that.
Weird that they would mix units like that.
Anyway,
1 inch = 2.54 cm

As I said, the diameters right-bisect each other, so what is 1/2 of 24 ?
So change the 12 inches to cm
= 12(2.54) cm
= 30.48 cm
Now everything is in the same units.

Similar Questions

1. geometry

the base of a right prism is a rhombus whose diagonals are 6 in and 8 in. The altitude of the prism measures 10 in. Find the lateral area and the total area of the prism.
2. geometry

The longer diagonal of a rhombus is 2 times as long as the shorter diagonal. Find the length of the shorter diagonal if the area is 24in squared.
3. arithmetic

The base of a solid right prism is a triangle whose sides are 9cm,12cm and 15 cm.the total surface area of the prism.
4. maths

the base of a solid right prism is a triangle whose sides are 9cm, 12cm and 15cm. The height of the prism is 5cm. Then the total surface area of the prism is.
5. solid mensuration

The base of a right prism is a rhombus whose sides are 12 inch and whose longer diagonal is 15 inch. Find its volume.
6. math

the base of a solid right prism is a triangle whose sides are 9 cm,12cm,15cm. the height of the prism is 5 cm. then find the total surface area of the prism is?
7. solid mensuration

A prism measuring 5 ft tall with a triangular base whose sides measures 7 ft, 3 ft, and 9 ft. In the base, the distance from the 9 ft side to the opposite vertex is 2 ft.
8. Solid Mensuration

Find the lengths of the sides of the cylcic quadrilateral if one diagonal coincides with a diameter of a circle whose area is 36pi cm squared. The other diagonal measures 8 cm meets the fist diagonal at right angles.
9. Solid Mensuration

one diagonal of a cyclic quadrilateral coincides with a diameter of a circle whose area is 36pi cm^2. If the other diagonal which measures 8cm meets the first diagonal at right angles, find the area of quadrilateral. Show your solutions
10. Solid Mensuration

one diagonal of a cyclic quadrilateral coincides with a diameter of a circle whose area is 36pi cm^2. If the other diagonal which measures 8cm meets the first diagonal at right angles, find the area of quadrilateral. Show your solutions

More Similar Questions