Grade 7 | Unit 7 | Lesson 14: Surface Area of Right Prisms | Practice Problems

Edge lengths are given in units. Find the surface area of each prism in square units. Description: Five prisms. Prism A, rectangular prism with dimensions 5, 8, 10. Prism B, base is a right triangle with sides 6, 8, 10, prism height 15. Prism C, rectangular prism with dimensions 5, 13, 4. Prism D, base is a right triangle with sides 5, 12, and 13, prism height is 8. Prism E, base is a triangle with sides 6, 5, 5 and height perpendicular to the 6 side is 4, prism height 12.

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.

\(B\) is the intersection of line \(AC\) and line \(ED\). Find the measure of each of the angles. Angle \(ABF\), Angle \(ABD\), Angle \(EBC\), Angle \(FBC\), Angle \(DBG\). Description: Two lines and two rays that intersect at point B creating 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.

Write each expression with fewer terms. \(12m-4m\)

Write each expression with fewer terms. \(12m-5k+m\)

Write each expression with fewer terms. \(9m+ k-(3m-2k)\)

Find 44% of 625 using the facts that 40% of 625 is 250 and 4% of 625 is 25. What is 4.4% of 625?

Find 44% of 625 using the facts that 40% of 625 is 250 and 4% of 625 is 25. What is 0.44% of 625?