Aterrarium is built in the shape of a triangular prism. 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? square inches

Area of the base = 45 inch²

Step-by-step explanation:

A terrarium is built in the shape of a triangular prism. The prism is 10 inches high and 450 cubic inches volume.

We have to calculate the area of the base shape of the prism.

Since we know volume of any triangular prism = area of the base × height

450 = Area of the triangular base × 10

Area of the base = square inch

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1