24-25 Geometry Mid-Unit Review Answer

Front

What is the formula for the volume of a square pyramid?

Back

Volume = (1/3) * base area * height. For a square pyramid, base area = side length².

Front

Calculate the volume of a square pyramid with a base side length of 7 feet and a height of 6.6 feet.

Back

Volume = (1/3) * (7 ft)² * (6.6 ft) = 107.8 ft³.

Front

What is the formula for the surface area of a rectangular prism?

Back

Surface Area = 2(lw + lh + wh), where l = length, w = width, h = height.

Front

If a rectangular prism has dimensions 5 in, 7 in, and 4 in, what is its surface area?

Back

Surface Area = 2(5*7 + 5*4 + 7*4) = 2(35 + 20 + 28) = 2(83) = 166 in².

Front

What is the equation to solve for x in a linear equation?

Back

To solve for x, isolate x on one side of the equation.

Front

Solve for x: 2x + 2 = -52.

Back

x = -27.

Front

What is the formula for the volume of a triangular prism?

Back

Volume = (1/2 * base * height of the triangle) * length of the prism.

Front

Calculate the volume of a triangular prism with a base of 10 cm, height of 6 cm, and length of 20 cm.

Back

Volume = (1/2 * 10 cm * 6 cm) * 20 cm = 600 cm³.

Front

What is the definition of a square pyramid?

Back

A three-dimensional shape with a square base and four triangular faces that meet at a point (the apex).

Front

What is the definition of a rectangular prism?

Back

A three-dimensional shape with six rectangular faces, where opposite faces are equal.