Unit 5 Practice Test

The density of soap is 0.932 grams per cubic centimeter. A soap producer wants to sell soap bottles that contain 700 grams of soap. What is the volume of the soap container that holds 700 grams of soap? Round your answer to the nearest hundredth.

The density of coconut oil is 924.27 kilograms per cubic meter. A woman is packing coconut oil bottles with a volume of 0.5 cubic meters. What’s the mass of coconut oil she used for every bottle?

A right pyramid has a square base with sides of length 1 km. Each segment connecting the apex to a midpoint of a side of the base has length 1.1km. What is the height of the pyramid? Round to the nearest hundredth.

A right pyramid has a square base with sides of length 1 km. Each segment connecting the apex to a midpoint of a side of the base has length 1.1km. What is the volume of the pyramid? Round to the nearest hundredth.

A cylindrical insulated mug is 1.5 centimeters in height. When filled to the very top, it holds 600π cubic centimeters of water. What is the radius of the insulated mug?

The company makes a medium shipping box that can fit 250 cubic inches. They plan to make an extra-large shipping box using a scale factor of 3. How many cubic inches will be able to fit?

The company also wants to make an extra small shipping box that can fit 50 cubic inches. This box will also be a dilation of the medium shipping box. What scale factor does the company need to use for the extra small shipping box? Round to the nearest hundredth.

The company is now designing express shipping boxes. The largest express shipping box will be a dilation of the smallest box using a scale factor of 3. The smallest box must hold 40 cubic inches. Find a set of dimensions for the largest box. Sample response:1x2x3

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Here is a solid. What cross section results from a horizontal plan intersecting the pyramid halfway up its height.

• square

• triangle

• circle

• rectangle

Here is a solid. What cross section results from a vertical plan intersecting the pyramid passing through the pyramid's apex.

• square

• triangle

• circle

• rectangle