Question

A fish tank measuring 80cm by 40cm contains water to a height of 35 cm
Find:
1. volume of water in the tank. Giving answer in liters.
2. Find surface area of the tank that is in contact with the water. Giving answer in m²

Answer 1

$\huge{\fbox{\fbox{\bigstar{\mathfrak{\red{Answer}}}}}}$

$<marquee direction="left">$Hope it helps,

Answer 2

★ Given :

• Length of fish tank or cuboid (L) = 80 cm
• Breadth of cuboid (B) = 40 cm
• Height of cuboid (H) = 35 cm

$\rule{100}{2}$

★ To Find :

We have to find the volume and surface area of cuboid.

$\rule{100}{2}$

★ Solution :

☯ Refrence of Image is in the Diagram :

$\setlength{\unitlength}{0.74 cm}\begin{picture}(12,4)\thicklines\put(6,6){\line(1,0){5}}\put(6,9){\line(1,0){5}}\put(11,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\put(4,7.3){\line(1,0){5}}\put(4,10.3){\line(1,0){5}}\put(9,10.3){\line(0,-1){3}}\put(4,7.3){\line(0,1){3}}\put(6,6){\line(-3,2){2}}\put(6,9){\line(-3,2){2}}\put(11,9){\line(-3,2){2}}\put(11,6){\line(-3,2){2}}\put(8,5.5){80 cm}\put(4,6.3){40 cm}\put(11.2,7.5){35 cm}\end{picture}$

$\rule{150}{1}$

We know that,

$\Large{\implies{\boxed{\boxed{\sf{Volume = LBH}}}}}$

➳ Puuting Values

$\sf{\dashrightarrow Volume = 80 \times 40 \times 35} \\ \\ \sf{\dashrightarrow Volume = 3200 \times 35} \\ \\ \sf{\dashrightarrow Volume = 112000} \\ \\ \Large{\implies{\boxed{\boxed{\sf{Volume = 1,12,000 \: cm^3}}}}} \\ \\ \underline{\sf{\therefore \: Volume \: of \: fish \: tank \: is \: 112000 \: cm^3.}}$

$\rule{150}{2}$

We know that,

$\Large{\implies{\boxed{\boxed{\sf{Surface \: Area = 2(LB + BH + LH)}}}}}$

Let surface area be x. So,

➳ Puuting Values

$\sf{\dashrightarrow x = 2(80 \times 40 + 40 \times 35 + 80 \times 35} \\ \\ \sf{\dashrightarrow x = 2(3200 + 1400 + 2800)} \\ \\ \sf{\dashrightarrow x = 2(4600 + 2800)} \\ \\ \sf{\dashrightarrow x = 2 \times 7400} \\ \\ \sf{\dashrightarrow x = 14800 \: cm^2} \\ \\ \sf{\dashrightarrow x = \frac{148\cancel{00}}{\cancel{100}}} \\ \\ \sf{\dashrightarrow x = 148 \: m^2} \\ \\ \underline{\sf{\therefore \: Surface \: area \: of \: fish \: tank \: is \: 148 \: m^2.}}$