Math problem on volume?

Question

http://img528.imageshack.us/img528/5198/picture1mo1.png

i dont understand how to do it.

what are the steps?

Answer 1

The figure is like the toblerone chocolate.

It is a triangular prism.

To compute for the volume, just calculate the Area of the base, which is a TRIANGLE and then multiply it by the length of the prism.

Volume = Area of Triangle x length

V = A x l

Area of triangle  = 1/2 base x height

base of the triangle =  12 cm

Height   =  Unknown

Use the pythagorean theorem to solve for height of the right triangle

h^2 = a^2 + b^2

where h is the hypothenuse, a = height of the right triangle, b = the base of the triangle (which is 1/2 of the bigger triangle)

10^2 = a^2 + 6^2

100 = a^2 + 36

a^2 = 100 - 36

a^2 = 64

a = sqrt 64

a = 8 cm ==> height of the bigger traingle

V = A x l

V = 1/2 (12)(8) x 15.5

V = 1/2 (1488)

V = 744 cm^3 ==> volume of the triangular prism

Answer 2

The easiest way to remember: calculate the area of the top/bottom triangles first. It's an isosceles triangle, with a 12 cm base (a) and two 10 cm legs (b).

The height (c) = √(b^2 - a^2/4) = √(100-144/4) = √64 = 8

area = 1/2 * 8 * 12 = 48

volume = area * depth = 48 * 15.5 = 744 cm^3

Answer 3

Using the pythagoras' theoream (a^2+b^2=c^2) to find the height of the triangle.

6^2+x^2=10^2

x^2=10^2-6^2

x=8 cm

So, 12 x 8 x 1/2 x 155 = 7440 cm^3

Answer 4

Consider triangle :-

10² = 6² + h²

h² = 64

h = 8

Volume = Area of ∆ x height

Volume = (6 x 8) x 15.5 cm³

Volume = 744 cm³

Answer 5

hey you just have to do lxbxh basically you have to multiply the

length x bredth x height. Thats all!

Answer 6

aw please don't make me think

you know im not good at that kinda stuff