A block of unknown metal has the following dimensions: $1 \mathrm {~cm} \times 1 \mathrm {~cm} \times 3 \mathrm {~cm}$ . The block's density is $8000 { \mathrm { kg } } / \mathrm { m } ^ { 3 }$ . What is the mass of the block?
A) 24g
B) 240g
C) 2.4kg
D) 24kg

Question

A block of unknown metal has the following dimensions: $1 \mathrm {~cm} \times 1 \mathrm {~cm} \times 3 \mathrm {~cm}$ . The block's density is $8000  { \mathrm { kg } } / \mathrm { m } ^ { 3 }$ . What is the mass of the block?
A) 24g
B) 240g
C) 2.4kg
D) 24kg

Quizplus · Accepted Answer

The volume of the block is $1 \mathrm{cm} \times 1 \mathrm{cm} \times 3 \mathrm{cm} = 3 \mathrm{cm}^3$. Since $1 \mathrm{cm}^3 = 1 \times 10^{-6} \mathrm{m}^3$, the volume in cubic meters is $3 \times 10^{-6} \mathrm{m}^3$. The mass is density times volume, so $8000 \mathrm{kg/m}^3 \times 3 \times 10^{-6} \mathrm{m}^3 = 0.024 \mathrm{kg}$, or $24 \mathrm{g}$.

A Block of Unknown Metal Has the Following Dimensions 1 cm×1 cm×3 cm1 \mathrm {~cm} \times 1 \mathrm {~cm} \times 3 \mathrm {~cm}1 cm×1 cm×3 cm

A Block of Unknown Metal Has the Following Dimensions $1 \mathrm {~cm} \times 1 \mathrm {~cm} \times 3 \mathrm {~cm}$