Question

3
calcule le volume de ce cube.
a) utilise la formule ( v = a_b cdot h ).
réponse

b) donne une autre formule pour calculer le volume de ce cube.
(there is a cube image with 15 mm side length)

Explanation:

Part a)

Step1: Find the base area ($A_b$) of the cube

A cube has a square base. The side length ($s$) of the cube is 15 mm. The area of a square is $A = s^2$. So, the base area $A_b = 15^2 = 225$ $mm^2$.

Step2: Use the formula $V = A_b \cdot h$ to find the volume

In a cube, the height ($h$) is equal to the side length, so $h = 15$ mm. Substitute $A_b = 225$ $mm^2$ and $h = 15$ mm into the formula: $V = 225 \cdot 15 = 3375$ $mm^3$.

Part b)

Step1: Recall the volume formula for a cube

The volume of a cube can also be calculated using the formula $V = s^3$, where $s$ is the side length of the cube.

Step2: Substitute the side length into the formula

The side length $s = 15$ mm. So, $V = 15^3 = 15 \cdot 15 \cdot 15 = 3375$ $mm^3$.

Answer:

a) The volume of the cube using $V = A_b \cdot h$ is $\boldsymbol{3375}$ cubic millimeters.
b) The volume of the cube using $V = s^3$ is $\boldsymbol{3375}$ cubic millimeters.