<u><em>Answer:</em></u>
volume of prism = 378 cm³
<u><em>Explanation:</em></u>
<u>The volume of the right prism can be calculated as follows:</u>
volume of prism = area of base * height of prism
<u>1- getting the area of base:</u>
Our base is a triangle, this means that:
area = 0.5 * base * height
We have:
base = 9 cm
height = 6 cm
Therefore:
area of base = 0.5 * 9 * 6
area of base = 27 cm²
<u>2- getting the volume:</u>
volume of prism = area of base * height of prism
volume of prism = 27 * 14
volume of prism = 378 cm³
Hope this helps :)
Answer:
The lengths of all sides of the triangle will be 21 cm, 21 cm, and 21 cm
Step-by-step explanation:
Given that the perimeter of the triangle = 63 cm
And the length of one side = 21 cm
and one of the medians is perpendicular to one of its angle bisectors
Since triangle has 3 sides,
Median = 63 ÷ 3 = 21
Therefore each side length = 21 cm
Answer:
C. 128/3 meters cubed
Step-by-step explanation:
The volume of a cylinder is denoted by: , where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:
We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:
Now, the volume of a sphere is denoted by: , where r is the radius. From above, we know that , so we can plug this into the equation:
Thus, the answer is C.