To solve this, we work out the volume of the two shapes (the cuboid and the pyramid) and then add them together.
We get the volume of the cuboid by multiplying the base by the width by the length:
Volume of cuboid = 6 x 6 x 4
= 144m³
Now to get the volume of the pyramid, we multiply the base by the length by the height, and then we divide by three.
Volume of pyramid = 6 x 6 x 8 ÷ 3
= 96m³
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Answer:
Now that we know the two volumes, we simply add them together:
144 + 96 = 240m³
So the volume of the composite sold is 240m³
Answer: 21 mins to peel the balanced potatoes
Step-by-step explanation:
Your answer is C lmk if that helps!
Remark
The easiest way to do this is to find the radius of both spheres . That gives you the scale factor. The answer to the next two parts might surprise you.
Step one
Find the volume of the small sphere.
V = 4/3 pi r^3
V = 250 yards^3
pi = 3.14
r = ???
Sub and solve
250 = 4/3 pi * r^3 Multiply both sides by 3/4 to get rid of the fraction on the right.
250 * 3/4 = pi * r^3
187.5 = pi r^3 Divide by pi
187.5 / pi = r^3
59.71 = r^3 Take the cube root of both sides.
cube root (59.71) = cube root(r^3)
r = 3.91
Step 2
find the radius of the large sphere.
I'm just going to give you the answer. Follow the above steps to confirm it.
V = 686 cubic yards
pi = 3.14
r = ??
r = cube root (514.5/3.14)
r = 5.472
Step 3
Find the ratio
r_large/r_small = 5.472/3.91 = 1.3995
I'm going to leave the Area calculations to you
The area ratios should come to 1.96 (about)
The volume ratios should come to 1:2.74