Answer:
Find the cube's volume first (because it's the simplest figure) by using the formula;
(Formula for vol. of cube)
V =
Where 's' stands for one side of the cube raised to the power of three.
or
V = w · l · h
Where 'w' stands for the width, 'l' stands for the length, and 'h' stands for the height.
Plug in the values you know since they literally give it to you (I'll be using the formula
);
V =
V = 3^3 → (The symbol ' ^ ' means to the power of.)
V = 27, is the volume of the cube.
Now we find the volume of the pyramid using the formula;
(Formula for vol. of pyramid)
V = (l · w · h) · 1/3
Where 'l' means the length, 'w' the width, and 'h' the height whereas the 1/3 is just dividing the product of those three by 3.
Plug in the values you know using both the lengths from the cube and pyramid.
- What we know of the dimensions for the cube:
Length = 3
Width = 3
Height = 3(we won't use)
- What we know of the dimensions for the pyramid:
Height = 4
Use these to figure out the volume for the pyramid.
V = (l · w · h) · 1/3
V = (3 · 3 · 4) · 1/3
V = 36 · 1/3
V = 36/3
V = 12, is the volume of the pyramid.
Add your volumes:-
27(cube vol.) + 12(pyramid vol.)
= 39 is the volume for this whole solid, your answer is D.