Lesson 14: Practice Problems

Problem 1

Edge lengths are given in units. Find the surface area of each prism in square units.

  1. Rectangular prism with dimensions 5, 8, 10.
  2. Base is a right triangle with sides 6, 8, 10, prism height 15.
  3. Rectangular prism with dimensions 5, 13, 4.
  4. Base is a right triangle with sides 5, 12, and 13, prism height is 8.
  5. Base is a triangle with sides 6, 5, 5 and height perpendicular to the 6 side is 4, prism height 12.

Problem 2 From Unit 7 Lesson 11

Priya says, “No matter which way you slice this rectangular prism, the cross section will be a rectangle.” Mai says, “I’m not so sure.” Describe a slice that Mai might be thinking of.

A rectangular prism.

Problem 3 From Unit 7 Lesson 5

B is the intersection of line  and line . Find the measure of each of the angles.

Two lines and two rays that intersect at point B creates 6 angles. Line AC is slanted downward and to the right and line ED is slanted upward and to the right. Ray BG is drawn between line segment BD and line segment BC. Angle GBC that is formed measures 65 degrees. Ray BF is drawn between line segment BC and line segment BE. Angle FBE that is formed measures 20 degrees. Angle ABE is labeled 110 degrees.

  1. The measure of angle

  2. The measure of angle

  3. The measure of angle

  4. The measure of angle

  5. The measure of angle

Problem 4 From Unit 6 Lesson 20

Write each expression with fewer terms.

Problem 5 From Unit 4 Lesson 9

  1. Find 44% of 625 using the facts that 40% of 625 is 250 and 4% of 625 is 25.

  2. What is 4.4% of 625?

  3. What is 0.44% of 625?