7.05 Solve problems with volume and surface area

Lesson

Practice

Adaptive

Worksheet

Interactive practice questions

A rectangular box has a length of $8$8 meters, a width of $4$4 meters, and a height of $2$2 meters. If we want to fill this box with sand, which measurement should we calculate?

A rectangular prism with a height of $2$2 meters, a base width of $4$4 meters, and a length of $8$8 meters.

Select the correct option.

Volume

Surface area

Neither

Easy

< 1min

A soup can has a cylindrical shape with a radius of $7$7 cm and a height of $13$13 cm. When trying to figure out how much soup the can holds, which measurement should we focus on?

Easy

< 1min

$Derek$ has a cardboard box that needs to be painted on all sides. The box is $20$20 cm long, $20$20 cm high and $50$50 cm wide. To determine how much paint he will need to cover the entire box, which measurement should he calculate?

Easy

< 1min

$Quiana$ is wrapping the present shown . To completely wrap the present with wrapping paper, which measurement should $Quiana$ calculate?

Easy

< 1min

Outcomes

7.MG.1

The student will investigate and determine the volume formulas for right cylinders and the surface area formulas for rectangular prisms and right cylinders and apply the formulas in context.

7.MG.1a

Develop the formulas for determining the volume of right cylinders and solve problems, including those in contextual situations, using concrete objects, diagrams, and formulas.

7.MG.1b

Develop the formulas for determining the surface area of rectangular prisms and right cylinders and solve problems, including those in contextual situations, using concrete objects, two- dimensional diagrams, nets, and formulas.

7.MG.1c

Determine if a problem in context, involving a rectangular prism or right cylinder, represents the application of volume or surface area.

7.05 Solve problems with volume and surface area

Interactive practice questions

Outcomes

7.MG.1

7.MG.1a

7.MG.1b

7.MG.1c

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