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Gre4nikov [31]
3 years ago
13

A. What is the area of the base? Use complete sentences to explain your reasoning.

Mathematics
2 answers:
Lynna [10]3 years ago
8 0

Answer:

<u>For the first answer (A)</u>

The area of the base is the area of the 8 by 4 rectangle, minus the missing 2 by 2 square in the top-right.  This is 8*4-2*2=32-4=28 square centimeters.

<u>For the second answer (B)</u>

The volume of the prism is the base area multiplied by the height, or 28*10=280 cubic centimeters.

Shtirlitz [24]3 years ago
4 0

Answer:

Area = 28 cm² and Volume = 280 cm³

Step-by-step explanation:

A. Area of the base of the prism = Area of rectangle with dimensions 4 × 8 cm. minus area of a rectangle with dimensions 2×2 cm.

Area = 4 × 8 - 2 × 2

       = 32 - 4 = 28 cm²

B. Volume of the given prism = Volume of full prism with dimensions 10 × 4 × 8 cm. minus volume of small prism (missing) having dimensions 2×2×10 cm.

Volume = 10 × 4 × 8 - 2 × 2 × 10

             = 320 - 40

            = 280 cm³

Area = 28 cm² and Volume = 280 cm³

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