A triangular prism. The rectangular sides are 8 inches by 4 inches, 8 inches by 5 inches, and 8 inches by 3 inches. The triangular sides have a base of 4 inches and height of 3 inches.
The area of each triangular base is:

A = 1/2(b)(h) A = 1/2(4)(3)

A = in.2
There are two bases, so total base area is in.2.
The lateral area is:

A = 8(4) + 8(3) + 8(5)

A = in.2
The total surface area is in.2.

A of each triangular base = 6 in²

A of both bases = 12 in²

Lateral A = 96 in²

Surface area = 108 in²

Step-by-step explanation:

Area of each triangular base

1/2(3)(4) = 1/2(12) = 6

Area of  both bases

6*2 = 12

Lateral Area

(8)(3) + (8)(4) + (8)(5)

24 + 32 + 40

96

Total Surface area

96 + 12 = 108 in²

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

mariah is studying the life cycle of the monarch butterfly. she must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. she plans to make her choice randomly using a custom spinner divided into four sections. first, however, she spins the spinner 50 times to see the frequencies it generates.

stage times landed on

egg 10

caterpillar 12

chrysalis 15

adult 13

step-by-step explanation: