# solid mensuration

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

1. 👍 0
2. 👎 0
3. 👁 51
asked by leo
1. 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)
= ...

1. 👍 0
2. 👎 0
posted by Reiny
2. where did u get the 12?because the sides are centimeter and the other diagonal is inches?

1. 👍 0
2. 👎 0
posted by leo
3. 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.

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

1. ### math

The base of a prism is a right angled triangle with its two shorter sides are equal to 4cm and 8cm.The prism is 10cm long.

asked by need help on September 18, 2016
2. ### geometry

Fin the volume of a triangular prism with height 16cm, base (a right triangle with sides 7cm, 8cm, and 10cm and the right angle between shorter sides.)

asked by Jastine on September 19, 2012
3. ### Math

The base of the right prism is a rhombus with the side 7 cm. The altitude of the prism is h=13 cm. Find the lateral area of the prism.

asked by Anonymous on May 13, 2017
4. ### maths

the base of a given triangular prism is a right angled triangle with AB=5cm,AC=12cm and the height of the prism =20cm. Angle A=90 degrees so calculate the surface area of the prism

asked by thapelo on May 15, 2016
5. ### Maths

the acute angles of a rhombus are 76 degrees if the shorter diagonal is of length 8 cm calculate of the sides of the rhombus to the nearest mm

asked by Anita on January 9, 2016
6. ### geometry

Can anyone help me to solve this, please? A right prism has a polygonal base with n sides. Each side has a length of 5 in. The altitude of the prism is 20 in. If the base had n+1 sides, each still having a side of length 5 in, by

asked by scott on August 23, 2011
7. ### math

thanks anyone! A right prism has a polygonal base with n sides. Each side has a length of 5 in. The altitude of the prism is 20 in. If the base had n+1 sides, each still having a side of length 5 in, by how much, in square inches,

asked by scott on August 23, 2011
8. ### 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.

asked by nika on January 22, 2014
9. ### geometry

I need help with figure E Find the areas of the following figures. FIGURE A = 24? a rhombus with a perimeter of 20 meters and a diagonal of 8 meters FIGURE B = 120? a rhombus with a perimeter of 52 meters and a diagonal of 24

asked by Anonymous on January 20, 2018
10. ### 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.

asked by Nico on March 13, 2010

More Similar Questions