Unit 7, Lesson 14
Surface Area of Right Prisms
Grade 7
Practice
Problem 1
Edge lengths are given in units. Find the surface area of each prism in square units.
Problem 2
A rectangular prism with dimensions 5 inches by 13 inches by 10 inches was cut to leave a piece as shown in the image.
- What is the volume of this piece?
- What is the volume of the other piece not pictured?
Problem 3
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 measurement of each of the angles.
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Angle \(ABF\)
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Angle \(ABD\)
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Angle \(EBC\)
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Angle \(FBC\)
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Angle \(DBG\)
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.