Question

The volume of the cuboid is 320 cm³ and
the height is h cm. If the length of the
square base of the cuboid is 8 cm, what is
the value of h?
​

Answer 1

Answer:

h = 5 cm

Step-by-step explanation:

V = l × b × h

320 = 8 × 8 × h

320 ÷ 8 = 40

40 ÷ 8 = 5

Answer 2

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