Form one maths
2007-01-26 6:35 am
Ann has bought a pen stand for her father and its height is 11 cm. It has the shape of a prism and its base is a regular hexagon of side 5 cm. If the total outer surface area of the pen stand is 395 cm (square), find its capacity.
回答 (3)
2007-01-26 9:18 am
✔ 最佳答案
First, remember this is a pen stand, it means there is only one base.So the base area is:
395 - 5 x 11 x 6 = 65
For any prism volume/capicity = base area x height
The capacity of the stand is:
65 x 11 = 715cm(cube)
In addition, give you one more formula.
For any cone/pyrimid volume/capicity = 1/3 x base area x height
Hope the above info may help you.
2007-01-26 7:44 am
The base area of the pen stand is
(395 - 5 x 6 x 11 ) ÷ 2
=32.5
∴The capacity is
32.5 x 11
=357.5 cm3
(395 - 5 x 6 x 11 ) ÷ 2
=32.5
∴The capacity is
32.5 x 11
=357.5 cm3
2007-01-26 7:00 am
[ 395 - (5 x 11) x 6 ] x 11 = 715
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