Answer:
![V=150cm^3](https://tex.z-dn.net/?f=V%3D150cm%5E3)
Step-by-step explanation:
First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.
The area of the triangle is given by the formula:
![A_T=\frac{bh}{2}](https://tex.z-dn.net/?f=A_T%3D%5Cfrac%7Bbh%7D%7B2%7D)
where b is the base:
and h is the height: ![h=5cm](https://tex.z-dn.net/?f=h%3D5cm)
thus, in this case we have:
![A_T=\frac{(4cm)(5cm)}{2}\\ \\A_T=\frac{20cm^2}{2} \\\\A_T=10cm^2](https://tex.z-dn.net/?f=A_T%3D%5Cfrac%7B%284cm%29%285cm%29%7D%7B2%7D%5C%5C%20%5C%5CA_T%3D%5Cfrac%7B20cm%5E2%7D%7B2%7D%20%5C%5C%5C%5CA_T%3D10cm%5E2)
And now, the volume will be the area of the triangle multiplied by the length
of the prism:
![V=A_T*l](https://tex.z-dn.net/?f=V%3DA_T%2Al)
Substituting the known values:
![V=10cm^2*15cm\\V=150cm^3](https://tex.z-dn.net/?f=V%3D10cm%5E2%2A15cm%5C%5CV%3D150cm%5E3)
The volume in cubic centimeters is 150.
1/5 x 100 = 20%
Answer: 20%
Yes, it can be shown as 4/15.
$12.80 × 1.075 = $13.76
$13.76 × 1.15 =$15.82