Middle School

One side of a cubic block of granite is 8 cm. The block has a density of 2.75 g/cm\(^3\).

Find its mass.

A. 186.18 g
B. 176 g
C. 514.75 g

Answer :

Answer:

The mass of the cubic granite block is 1408 g .

Step-by-step explanation:

Formula

Volume of a cube = a³

Where a is the side of the cube .

[tex]Density = \frac{Mass}{Volume}[/tex]

As given

one side of the cube is 8 cm .

(The figure is shown below.)

Thus

Put in the formula

Volume of a cubic granite block = 8 × 8 × 8

= 512 cm³

As given

The density of cube is 2.75 g/cm³.

Put in the formula

[tex]2.75 = \frac{Mass}{512}[/tex]

Mass = 2.75 × 512

Mass = 1408 g

Therefore the mass of the cubic granite block is 1408 g .