Volume and Surface Area of Rectangular Prisms

Volume and Surface Area of Rectangular Prisms

By Mariah Brown

What are we doing today?

SOL 7.4a

Learning Intention: I will be able to describe and determine the volume and surface area of rectangular prisms including practical problems.

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Success Criteria: I will be able to get 7 out of 10 correct on my exit ticket questions​

Subject | Subject

Some text here about the topic of discussion

Space inside of a shape

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Ex: The Amount of water a glass can hold​

*the answer will always be cubed ³​

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Volume

What is volume?

Some text here about the topic of discussion

Multiple Choice

Which is volume?

• The space inside an object

• The space on the outside an object

Wrap

Cover

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Examples

Outside of an object

Surface Area

What is Surface Area?

Some text here about the topic of discussion

Multiple Select

Which associates with volume?

• Wrap

• Cover

• Fill

• Amount of water a glass can hold

Multiple Select

Which associates with Surface Area?

• Wrap

  (like wrapping the outsied of a gift)

• fill

  (filling a hole with sand)

• hold

  (how much soda can a bottle hold)

• cover

  (cover the outside of a box)

Multiple Choice

Which example requires you to find the surface area?

• Finding out how much water will fill a cylinder
• Finding out how much wrapping paper is needed to cover a present
• Finding the amount a container can hold
• Finding out how much wood is needed to build a fence in your back yard.

Multiple Choice

What is surface area?

• The measure of the amount of space inside of a solid figure
• The sum of all the areas of all the shapes that cover the object

The Rectangular Prism : has 6 faces

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​Now lets' learn how to use the formulas to find the volume and surface area of the rectangular prism. Its so simple.....DESMOS and substitution!!!!

Multiple Choice

What is the formula used to find the volume of a rectangular prism?

• V = Lw
• V = Lwh
• V = 1/2bh
• V = 2∏r

Multiple Choice

Find the Volume of this Prism

• 38 ft

• 23 ft

• 57 ft

• 36 ft

Multiple Choice

What is the volume of this prism?

• 6 cubic in
• 12 cubic in
• 24 cubic in

Multiple Choice

Find the Volume of this Prism

• 184 in

• 56 in

• 192 in

• 92 in

Multiple Choice

• 410 cm³
• 420 cm³
• 402 cm³
• 401 cm³

Multiple Choice

Bob has a rectangular prism gift box what it the volume of bobs gift box?

• 64in³
• 60in³
• 240in³
• 24in³

Multiple Choice

What is the formula for Surface Area of a rectangular prism?

• lwh

• 2lw+2lh+2wh

• $$2\pi r^2+2\pi rh$$  

• l+w+h

Multiple Choice

Find the total surface area of the prism.

• 48 square inches
• 64 square inches
• 88 square inches
• 76 square inches

Multiple Choice

What is the surface area of this figure?

• 200 cm ²
• 800 cm ²
• 400 cm ²
• 100 cm ²

Multiple Choice

Find the surface area of the rectangular prism.

• 140 in.²
• 83 in.²
• 166 in. ²
• 100 in.²

Multiple Choice

Find the surface area of the rectangular prism.

• 94 cm. squared
• 60 cm. squared
• 12 cm. squared
• 19 cm. squared

Multiple Choice

Find the surface area of this Prism

• 208 in

• 206 in

• 105 in

• 142 in

Multiple Choice

What is the surface area of the rectangular prism?

• 72 cm²

• 36 cm²

• 62 cm²

• 78 cm²

Volume or Surface Area?? Then Solve.

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Some text here about the topic of discussion

Multiple Choice

A rectangular brick has a length of 5 centimeters, a width of  9 centimeters and a height of 20 centimeters. What is the surface area of that brick? 

• 650 cm²
• 600 cm²
• 525 cm²
• 450 cm²

Multiple Choice

A cereal box is 12cm tall.  The area of the base is 7cm.  What is the volume?

• 84 cm²
• 84 cm³
• 83 cm
• 84

Multiple Choice

To calculate the amount of cardboard needed to make a cereal box, which of the following should you find: 

• Area
• Perimenter
• Surface Area
• Volume

Multiple Choice

How much gift wrap is needed to wrap a gift 5 inches long, 8 inches wide and 10 inches tall?

• 80 in²
• 340 in²
• 400 in²
• 160 in²

Multiple Choice

Coach Hanf wants to repaint her daughter's room. The room's dimensions are 10 feet long and 11 feet wide. The room has 8 foot ceilings. How much paint is she going to need to paint the walls?

• 556 ft²

• 880 ft2

• 336 ft²

• 446 ft²