A terrarium is built in the shape of a triangular prism. The prism is 10 inches in height and contains 450 cubic inches of space. A triangular prism is shown. The prism is 10 inches in height and contains 450 cubic inches of space. What is the area of the base shape of the prism?

The area of the prism’s base is 45 square inches

Step-by-step explanation:

Mathematically, to calculate the volume or the amount of space in the triangular prism, we have to multiply the area of the base by the height of the prism.

Volume of prism = height of prism * base area of prism

From the question, we identify the height as 10 inches with the volume being 450 inches^3

Plugging these values we have;

Area of prism base = volume of prism/ height of prism = 450/10 = 45 inches^2

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75