Verified Answer :

Answer:

h = 5 cm

Step-by-step explanation:

V = l × b × h

320 = 8 × 8 × h

320 ÷ 8 = 40

40 ÷ 8 = 5

Answer:

\(h=5\)

Step-by-step explanation:

First, it's best to establish the formula for the volume of a cuboid.

\(V=lwh\)

We know the volume (\(V=320 \text{cm}^{3}\)) and the length of the one of the bases (\(l=8 \text{cm}\)). We actually know two bases, because the base is a square. Squares have all four sides congruent, so both the length and width = 8.

Now we can fill these values into our equation.

\(320 = 8*8*h\)

We can simplify this by multiplying 8 and 8.

\(320 = 64*h\)

8*8=64, so we have simplified to this. Now, divide by 64 on both sides to isolate h and find it's value.

5 = h