Question

An aquarium is in the form of a cuboid whose external measures are 80 cm x 30 cm x 40 cm. The base, side
Faces and back faces are to be covered with a coloured paper. Find the area of the paper needed .
​

Answer 1

Answer:

8000cm2

Step-by-step explanation:

Answer 2

• Length ( L )= 80 cm
• Breadth ( B ) = 30 cm
• Height ( H ) = 40 cm

As all faces of cuboid are in the shape of rectangle, hence we can find its area by the formula (Length × Breath)

⠀

★According to the given Question :

Area=Base+Side\:Faces+Back\:Face\\\\\\:\implies\sf Area=(LB)+[(BH)+(BH)]+(LH)\\\\\\:\implies\sf Area=(LB)+2(BH)+(LH)\\\\\\:\implies\sf Area=(80 \times 30)+2(30 \times 40)+(80 \times 40)\\\\\\:\implies\sf Area = 2400 + (2 \times 1200) +3200\\\\\\:\implies\sf Area = 2400 + 2400 + 3200\\\\\\:\implies\sf Area = 8000 \:cm^{2}\\\\\\:\implies\sf Area =8000 \times \dfrac{1}{100} \:m \times \dfrac{1}{100} \:m\\\\\\:\implies\sf Area = 0.8 \:m^{2}\end{gathered}

:⟹Area=Base+SideFaces+BackFace

:⟹Area=(LB)+[(BH)+(BH)]+(LH)

:⟹Area=(LB)+2(BH)+(LH)

:⟹Area=(80×30)+2(30×40)+(80×40)

:⟹Area=2400+(2×1200)+3200

:⟹Area=2400+2400+3200

:⟹Area=8000cm

2

:⟹Area=8000×

100

1

m×

100

1

m

:⟹Area=0.8m

2

⠀

Hence, Area of paper needed is \textbf{0.8 m$^\text2$}}}.∴

Hence, Area of paper needed is 0.8 m

2

.