Question

Hey there! I was wondering if I could receive help on solving these first 4 questions! At least an explanation on how I could solve them myself would be fine :)

Answer 1

1.

This figure is a rectangular prism. The surface area of a rectangular prism is given by:

`\begin{gathered} SA=2(lw+lh+wh) \\ Where: \\ l=14cm \\ w=11cm \\ h=14cm \end{gathered}`

So:

`\begin{gathered} SA=2(14\cdot11+14\cdot14+11\cdot14) \\ SA=2(154+196+154) \\ SA=2(504) \\ SA=1008cm^2 \end{gathered}`

The volume of the rectangular prism is:

`\begin{gathered} V=l\cdot w\cdot h \\ V=14\cdot11\cdot14 \\ V=2156cm^3 \end{gathered}`

2.

The surface area of the sphere is:

`SA=4\pi r^2`

And the volume is:

`V=(4)/(3)\pi r^3`

Where:

`\begin{gathered} r=(20)/(2) \\ r=10 \end{gathered}`

3.

The surface area of the cylinder is:

`SA=2\pi r^2+2\pi rh`

And the volume is:

`\begin{gathered} V=\pi r^2h \\ \end{gathered}`

Where:

`\begin{gathered} r=(19)/(2) \\ r=9.5 \\ h=19 \end{gathered}`

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4.

The surface area of the triangular prism is:

`SA=ls+bh+lb+lr`

And the volume is:

`V=(1)/(2)lbh`

Where:

`\begin{gathered} l=15 \\ s=22 \\ r=19 \\ h=18 \\ b=16 \end{gathered}`