Benchmark 4 Review

Front

What shape does the cross section of a triangular prism make?

Back

Triangle

Front

If point P partitions the directed segment from A to B in a ratio of 3 to 2, how do you find the coordinates of point B?

Back

Use the section formula: B = (x1 + (m/(m+n))(x2-x1), y1 + (m/(m+n))(y2-y1) where m=3, n=2.

Front

What shape will the horizontal cross-section of a cone be?

Back

Circle

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

If the area of a rectangle is 36 square meters and the length is 3 meters, what is the width?

Back

Width = Area / Length = 36 / 3 = 12 meters.

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × radius² × height.

Front

What is the difference between the volume of two bins if one is 18,000 ft³ and the other is 6,283 ft³?

Back

Difference = 18,000 - 6,283 = 11,717 ft³.

Front

What is the definition of a cross-section in geometry?

Back

A cross-section is the intersection of a solid and a plane.

Front

What is the relationship between the radius and diameter of a circle?

Back

Diameter = 2 × Radius.