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MA.912.G.7.5: Explain and use formulas for lateral area, surface area, and volume of solids.

Geometry Mini-Lesson.

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MA.912.G.7.5: Explain and use formulas for lateral area, surface area, and volume of solids.

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  1. Geometry Mini-Lesson Jacob has two rectangular sheets of metal that measure 10 centimeters (cm) by 20 cm. He formed Box A by cutting a 3 cm square from each corner of the metal sheet and folding up the flaps to form a rectangular prism with an open top.Jacob then formed Box B by cutting a 1 cm square from each corner of the other sheet of metal and folding up the flaps to form another rectangular prism with an open top.What is the difference in the volumes, in cubic centimeters, of Box A and Box B? • 20 cubic cm • 24 cubic cm • 32 cubic cm • 48 cubic cm MA.912.G.7.5: Explain and use formulas for lateral area, surface area, and volume of solids.

  2. Geometry Mini-Lesson Mr. Tran built a rectangular sandbox for the local park as shown below. He wants to fill it with sand that comes in 50-pound bags. If each bag contains about 0.75 cubic feet of sand, how many bags are needed to fill the sandbox? • 120 • 140 • 160 • 190 MA.912.G.7.5: Explain and use formulas for lateral area, surface area, and volume of solids.

  3. Geometry Mini-Lesson Samir built a wooden storage shed in the shape of a cube with sides 10 feet on each side capped by a right square pyramid, as shown by the figure below. The height of the entire figure is 22 feet. Samir needs to paint all of the lateral surfaces of the shed, including the roof but not including the floor. What is the surface area that will need to be painted? • 640 sq feet • 660 sq feet • 760 sq feet • 1400 sq feet MA.912.G.7.5: Explain and use formulas for lateral area, surface area, and volume of solids.

  4. Geometry Mini-Lesson MA.912.G.7.5: Explain and use formulas for lateral area, surface area, and volume of solids.

  5. Geometry Mini-Lesson A glass right cylinder with diameter 12 centimeters (cm) is partially filled with water to a level of 16 cm as shown in the figure below.If a solid metal cube with an edge length of 7 cm is dropped into the cylinder, which of the following is closest to the height of the new water level? • 13 cm • 17 cm • 18 cm • 19 cm MA.912.G.7.5: Explain and use formulas for lateral area, surface area, and volume of solids.

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