Copy of (S) Unit 4B Retake: Making Relevant Connections with Geometry Cross Sections and Volume (S) (6/5/2024)

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Jamelle is giving a pair of Nike sneakers to her boyfriend for a graduation present. The box has dimensions of 15 inches long, 12 inches wide and 7 inches high. Calculate how much wrapping paper she needs to cover the entire box. Be sure to include units in your answer. Show all of your thinking.

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Calculate the volume of the triangular prism shown below

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Two types of coffee cups at Dunkin’ Donuts are both cylinders. The left cup has a height of  5 inches with a diameter of 4 inches. The right cup has a height of 7 inches with a diameter of 3 inches. Answer the following questions. Use 3.14 for pi and round your answer to the nearest tenth.
 
How much coffee can the cup on the left hold? _______ (just type in the number)
How much coffee can the cup on the right hold? _______ (just type in the number)
How much more coffee can she add to the larger mug? _______ (just type in the number)

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A 3D figure is shown.

Select all of the shapes of the cross sections that could result from slicing the figure as described in the table below.

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Ms. Dolinski made a wooden structure using two rectangular prisms. The diagram shows the structure. Ms. Dolinski is only going to paint the surface area of the front side highlighted in blue of the wooden structure. To the nearest hundredth, what is the surface area that will be painted?

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Below is a diagram of your neighbor's pool. The diameter is 14 feet and the height is 8 feet. How much plastic was used to make the pool? Use 3.14 for pi. Round your answer to the nearest tenth.

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What is the cross section of a rectangular pyramid that is cut parallel to the base?

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What is the perpendicular to the base cross section that will result for all prisms?

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Kellogg's is producing a new sized box for their Apple Jacks cereal line. The super-sized cereal box measures 12 inches high by 7 inches long and 3 inches wide. How much cereal would someone get if they purchased two boxes?

1

Charlie has a bucket to build sand castles shaped like a cylinder. The diameter of the bucket is 8 inches and the height of the bucket is 10 inches. How much sand will the cylindrical bucket hold? Round your answer to the nearest cubic inch.

	Square	Triangle	Trapezoid
Parallel to the base
Perpendicular to the base through the vertex
Perpendicular to the base not through the vertex

Jamelle is giving a pair of Nike sneakers to her boyfriend for a graduation present. The box has dimensions of 15 inches long, 12 inches wide and 7 inches high. Calculate how much wrapping paper she needs to cover the entire box. Be sure to include units in your answer. Show all of your thinking.

Calculate the volume of the triangular prism shown below

A 3D figure is shown. Select all of the shapes of the cross sections that could result from slicing the figure as described in the table below.

Ms. Dolinski made a wooden structure using two rectangular prisms. The diagram shows the structure. Ms. Dolinski is only going to paint the surface area of the front side highlighted in blue of the wooden structure. To the nearest hundredth, what is the surface area that will be painted?

Below is a diagram of your neighbor's pool. The diameter is 14 feet and the height is 8 feet. How much plastic was used to make the pool? Use 3.14 for pi. Round your answer to the nearest tenth.

What is the cross section of a rectangular pyramid that is cut parallel to the base?

What is the perpendicular to the base cross section that will result for all prisms?

Kellogg's is producing a new sized box for their Apple Jacks cereal line. The super-sized cereal box measures 12 inches high by 7 inches long and 3 inches wide. How much cereal would someone get if they purchased two boxes?

Charlie has a bucket to build sand castles shaped like a cylinder. The diameter of the bucket is 8 inches and the height of the bucket is 10 inches. How much sand will the cylindrical bucket hold? Round your answer to the nearest cubic inch.

A 3D figure is shown.

Select all of the shapes of the cross sections that could result from slicing the figure as described in the table below.