Rectangular Prisms: Grade 12 Geometry

This worksheet focuses on understanding and calculating properties of rectangular prisms, including surface area, volume, and diagonals, suitable for Grade 12 students.

Grade 12 Math GeometryGeometry 3D ShapesRectangular Prisms

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GMD.A.3CCSS.MATH.CONTENT.HSG.GMD.B.4

Topics

geometry3D shapesrectangular prismvolumesurface areagrade 12

7 sections · Free to use · Printable

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Rectangular Prisms: Grade 12 Geometry

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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. Consider a rectangular prism with length 8 cm, width 5 cm, and height 3 cm. Calculate its volume and total surface area.

Volume:

Surface Area:

2. A rectangular prism has faces, edges, and vertices.

3. The longest diagonal of a rectangular prism with dimensions l, w, and h can be found using the formula d = .

4. If the volume of a rectangular prism is 120 cubic units and its base area is 24 square units, what is its height?

4 units

5 units

6 units

10 units

5. A storage container is in the shape of a rectangular prism. Its dimensions are 10 meters by 4 meters by 2 meters. If it is filled with water, how many liters of water can it hold? (1 cubic meter = 1000 liters)

6. All faces of a rectangular prism are congruent rectangles.

True

False