Answer:
First find the volume of the two rectangular prisms using the formula:
V = l · w · h
Where 'l' represents the length, 'w' the width, and 'h' the height.
Now let's find the volume of Prism 1;
V = l · w · h
V = 7/4 · 3/2 · 5/4
V = (7/4 · 3/2) · 5/4
V = 21/8 · 5/4
V = 105/32 cubic inches.
Now let's find the volume of Prism 2;
V = l · w · h
V = 5/2 · 9/4 · 2
V = (5/2 · 9/4) · 2
V = 45/8 · 2/1(make 2 to 2/1 because it makes it a bit easier)
V = 90/8 cubic inches.
Now let's find how many cubes can fit into each of these prisms.
But first, we need to find out the volume of one cube.
- Remember, all sides to a cube are equal.
Using the formula, V = l · w · h;
1/4 · 1/4 · 1/4
= 1/64 cubic inches is the volume of one cube.
Now we find how many cubes can fit inside each of these prisms.
Prism 1:
105/32(volume for this prism) ÷ 1/64(volume of one cube)
= 210 cubes can fit inside prism one.
Prism 2:
90/8(volume for this prism) ÷ 1/64(volume of one cube)
= 720 cubes can fit inside prism two.
Finally, let's calculate their difference:-
720 - 210
= 510 cubes.
Hence, prism 2 can hold 510 more cubes than prism 1.