Geometry

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MAP 7th Grade Math › Geometry

Questions 1 - 3

1

Calculate the volume of the provided figure.

$216\textup{ in}^3$

$215\textup{ in}^3$

$214\textup{ in}^3$

$213\textup{ in}^3$

Explanation

In order to solve this problem, we need to recall the volume formula for a cube:

$V=l\times w\times h$

Now that we have the correct formula, we can substitute in our known values and solve:

$V=6\times6\times6$

$V=216\textup{ in}^3$

2

The figure represents a set of complementary angles, solve for .

$70^\circ$

$71^\circ$

$69^\circ$

$68^\circ$

Explanation

Complementary angles are defined as two angles that when added together equal $90^\circ$

From the question, we know that the two angles are complimentary, and thus equal $90^\circ$ , so we can set up the following equation:

Next we can solve for :

$\frac{\begin{array}[b]{r}x+20=90\ -20-20\end{array}}{x= 70}$

3

What is the area of the circle provided?

$1\textup,024\pi\textup{ in}^2$

$1\textup,023\pi\textup{ in}^2$

$1\textup,026\pi\textup{ in}^2$

$1\textup,025\pi\textup{ in}^2$

Explanation

In order to solve this problem, we need to recall the formula for the area of a circle:

$A= r^2\pi$

The circle in this question provides us with the radius, so we can use the formula to solve:

$A=32^2\pi$

Solve:

$A=1\textup,024\pi\textup{ in}^2$

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