Question

The density of aluminium is 2710kgm¯³. Find the mass of an aluminium block with dimensions 2 m x 1.5 m x 1 m.

Answer 1

Given :-

• The density of aluminium is 2710kgm¯³. An aluminium block with dimensions 2 m x 1.5 m x 1 m.

To find :-

• Mass of aluminium block

Solution :-

• Density of aluminium = 2710kgm¯³

• Length of aluminium = 2m

• Breadth of aluminium = 1.5m

• Height of aluminium = 1m

Now,

→ Volume of aluminium

→ Length × breadth × height

→ 2 × 1.5 × 1

→ 3 m³

• As we know that

→ Density = Mass/Volume

→ 2710 = Mass/3

→ Mass = 2710 × 3

→ Mass = 8130 kg

Hence,

• Mass of aluminium is 8130 kg

Answer 2

Answer:

Density is a mass per volume.

$\setlength{\unitlength}{0.74 cm}\begin{picture}(12,4)\linethickness{0.4mm}\put(6,6){\line(1,0){5}}\put(6,9){\line(1,0){5}}\put(11,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\put(4,7.3){\line(1,0){5}}\put(4,10.3){\line(1,0){5}}\put(9,10.3){\line(0,-1){3}}\put(4,7.3){\line(0,1){3}}\qbezier(6,6)(4,7.3)(4,7.3)\qbezier(6,9)(4,10.2)(4,10.3)\qbezier(11,9)(9.5,10)(9,10.3)\qbezier(11,6)(10,6.6)(9,7.3)\put(8,5.5){\sf{2 m}}\put(4,6.3){\sf{1.5 m}}\put(11.2,7.5){\sf{1 m}}\put(6.3,6.5){\small\sf{Density = 2710}}\end{picture}$

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf Density=\dfrac{Mass}{Volume}\\\\\\:\implies\sf Density=\dfrac{Mass}{l \times b \times h}\\\\\\:\implies\sf 2710 = \dfrac{Mass}{2 \times 1.5 \times 1}\\\\\\:\implies\sf 2710 = \dfrac{Mass}{3}\\\\\\:\implies\sf 2710 \times 3 = Mass\\\\\\:\implies\underline{\boxed{\sf Mass = 8130 \:kg}}$

⠀

$\therefore\:\underline{\textsf{Mass of aluminum block is \textbf{8130 kg}}}.$