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Big Ideas Math: Modeling Real Life, Grade 6

BI

Big Ideas Math: Modeling Real Life, Grade 6 View details

Chapter Review

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Exercise 38 Page 336

Remember the formula for the surface area of a cube.

8672mi^2 or 433 12mi^2

Practice makes perfect

We want o calculate the surface area of a cube. Let's see the given measurements on the cube.

To calculate the surface area of a cube, we can use the following formula. S=6 s^2 The letter s represents the length of the edge of the cube. Then s^2 is its area. It is multiplied by 6 because all the faces of a cube are squares with the same dimensions. Let's substitute s= 8 12 into the formula to calculate S.

S=6s^2

s= 8 12

S=6( 8 12)^2

▼

Simplify

a bc=a* c+b/c

S=6(8* 2+1/2)^2

Multiply

S=6(16+1/2)^2

Add terms

S=6(17/2)^2

PowToProdTwoFac

a^2=a* a

S=6* 17/2 * 17/2

a = 1* a/1

S=6/1 * 17/2 * 17/2

Multiply fractions

S=6* 17 * 17/1 * 2 * 2

Multiply

S=1734/4

a/b=.a /2./.b /2.

S=1734÷ 2/4÷ 2

Calculate quotient

S=867/2

The surface area of the cube is 8672 square miles. We can also write the answer as a mixed number!

S=867/2

Rewrite 867 as 866+1

S=866+1/2

Write as a sum of fractions

S=866/2+1/2

Calculate quotient

S=433+1/2

Add terms

S=433 12

Subchapter links

1 Areas of Parallelograms p.333

2 Areas of Triangles p.334

3 Areas of Trapezoids and Kites p.335

4 Three-Dimensional Figures p.336

5 Surface Areas of Prisms p.336

6 Surface Areas of Pyramids p.337

7 Volumes of Rectangular Prisms p.337