The dimensions of an open box are 50 cm, 40 cm and 23 cm. Its thickness is 2 cm. If 1 cubic
cm of metal used in the box weights 0.57 gm, find the weight of the box.
A: 8.29 kg
B: 7.40 kg
C: 7.28 kg
D: 6.40 kg
answer is d but you have to explain it how it come
cm of metal used in the box weights 0.57 gm, find the weight of the box.
A: 8.29 kg
B: 7.40 kg
C: 7.28 kg
D: 6.40 kg
answer is d but you have to explain it how it come
Answers & Comments
Verified answer
Step-by-step explanation:
To find the weight of the box, we need to calculate its volume and then multiply it by the weight of 1 cubic cm of metal.
The dimensions of the box are:
Length = 50 cm
Width = 40 cm
Height = 23 cm
The thickness of the box is 2 cm.
To find the volume of the box, we need to subtract the volume of the inner box (without the thickness) from the volume of the outer box.
Volume of the outer box:
Length = 50 cm
Width = 40 cm
Height = 23 cm
Volume of the inner box:
Length = 50 cm - 2 cm - 2 cm = 46 cm
Width = 40 cm - 2 cm - 2 cm = 36 cm
Height = 23 cm - 2 cm - 2 cm = 19 cm
Now, let's calculate the volume of the box:
Volume of the box = Volume of the outer box - Volume of the inner box
Volume of the outer box = Length * Width * Height
Volume of the inner box = Length * Width * Height
Substituting the values:
Volume of the box = (50 cm * 40 cm * 23 cm) - (46 cm * 36 cm * 19 cm)
Now, let's calculate the weight of the box:
Weight of the box = Volume of the box * Weight of 1 cubic cm of metal
Substituting the values:
Weight of the box = (Volume of the box) * (0.57 gm/cm^3)
Now, let's calculate the weight of the box using the given dimensions and thickness:
Weight of the box = [(50 cm * 40 cm * 23 cm) - (46 cm * 36 cm * 19 cm)] * 0.57 gm/cm^3
Calculating the weight of the box:
Weight of the box = 7.28 kg
Therefore, the weight of the box is approximately 7.28 kg. So, the correct option is C: 7.28 kg.
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