Question

Help with this math question please

Answer 1

First question.

We will build up the 3-dimensional object from the dimensions shown in the view above. In doing this, the object is as shown in figure 1. So, we need to find the volume of this object. Let's cut off this object into two objects, so in doing this we can find the whole volume as the sum of the volume in green plus the volume in red (both are cubes), so:

$V_{t} = V_{g}+V_{r} = 8 \times 3 \times 5 + 8 \times 5 \times 8 = 440 ft^{3}$

So the answer is G.

Second question

The answer is D. Let's analyze it:

Given that r represents the radius  of the pizza and n the number of slices, so if we substitute r in this equation, then the values for n are:

$n = r^{2}+1$

$n=2^{2}+1=5$
$n=4^{2}+1=17$
$n=5^{2}+1=16$
$n=8^{2}+1=65$
$n=10^{2}+1=101$

These are the values of n shown in the table above.