Given:
Dimensions of a rectangular prism are 6 meters by 3 meters by 12 meters.
To find:
The surface area of the prism.
Solution:
The surface area of a rectangular prism is:

Where, l is length, b is breadth and h is height.
Putting
, we get




Therefore, the surface area of the prism is 252 square meters.
Answer:
a) 301.6 cm³
b) 188.5 cm²
Step-by-step explanation:
The volume and lateral surface area of the cone can be found using the given dimensions with the given formulas. All that is needed is to substitute the appropriate values and do the arithmetic.
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<h3>a) volume</h3>
The volume is given by the formula ...
V = 1/3πr²h
The dimensions are given on the diagram: r = 6 cm, h = 8 cm. Using these values in the formula, we find the volume to be ...
V = 1/3π(6 cm)²(8 cm) = 96π cm³ ≈ 301.6 cm³
The volume of the cone is about 301.6 cm³.
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<h3>b) area</h3>
The lateral area of the cone is given by the formula ...
A = πrl
The dimensions are given on the diagram: r = 6 cm, l = 10 cm (the slant height). Using these values in the formula, we find the area to be ...
A = π(6 cm)(10 cm) = 60π cm² ≈ 188.5 cm²
The area of the curved surface is about 188.5 cm².
Answer:
36 units
Step-by-step explanation:
Answer:
$1.67
Step-by-step explanation:
Take the total cost and divide by the number of markers
$20/12 =1.6666666
Since we are dealing with money we round to the nearest cent
$1.67