The product is 60.

We start out with the information we have. This forms a right triangle, with one leg being 24, the other leg x, and the hypotenuse 30. Using the Pythagorean theorem we have

x²+24²=30²
x²+576=900

Subtract 576 from both sides:
x²+576-576 = 900-576
x²=324

Take the square root of each side:
√x²=√324
x=18

We know that the formula for the volume of a triangular prism is V=(1/2bh)H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. Substituting our known information we have:

720=(1/2*18*24)y
720=216y

Divide both sides by 216:
720/216 = 216y/216
3 1/3 = y

This means the product of x and y would be:
18(3 1/3)
18(10/3)
180/3
60

6 0

4 years ago

Please answer this question

elena-14-01-66 [18.8K]

The area of the base (six triangles with a base 15m and a height 7.5√3m):

$A_B=6\cdot\dfrac{1}{2}\cdot15\cdot7.5\sqrt3\approx585\ m^2$

The area of side walls (six triangles with a base 15m and a height 12m)

$A_W=6\cdot\dfrac{1}{2}\cdot15\cdot12=540\ m^2$

The surface area:

$A_B+A_W=585+540=1,125\ m^2$

8 0

3 years ago