A shipping company is designing new cardboard
1 answer:
<u>Question Completion</u>
- Box A, The rectangular prism is of dimension 3 inch by 4 inch by 10 inch
- Box B, the Triangular prism has a base triangle of base 8 inch and height 3 inch. The length of the triangular prism is 6 Inch
See attached diagram
Answer:
Box B
Step-by-step explanation:
To determine the box which is made with less cardboard, we calculate the Total Surface Area of each box.
<u>Rectangular Prism(Box A)</u>
Total Surface Area=2(LW+LH+WH)
=2(10x4+10x3+3x4)
= 2(40+30+12)
=2(82)
Total Surface Area of Box A = 164 square inches
<u>Triangular Prism (Box B )</u>
Total Surface Area=2(Area of Triangle)+Area of Base rectangle+2(Area of side rectangles)
=2(0.5X3X8)+(8X6)+2(5X6)
=24+48+60
=132
Total Surface Area of Box B = 132 square inches
Since the total surface area of Box b is lesser,Box B is made with less cardboard .
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