Learning Task 3: Solve the following. Do this in a separate sheet of paper.
1. A box is (2x-3) by (x + 5) by ( 3x +1), what is the volume of the box if x = 3 cm?
2. The formula for the area of a triangle is A = if the base (b) = 10 cm and the height (h) = 6 cm, what is
the area of the triangle?
3. The length (l) of the rectangle is x2 + 2x-3 and the width (w) is 5x +4, what is the perimeter of the rectangle.
4. From the sum of 3x + 7x? - S and 2x2 + 3x + 8 take away 5x+x-5.
5. What should be added to 3x3 + 4x2-7 to have a sum of 4x + 2 5
Answers
your answer is in the pic
Given : A box is (2x-3) by (x + 5) by ( 3x +1),
To Find : volume of the box if x = 3 cm
Solution:
box is (2x-3) by (x + 5) by ( 3x +1),
=> Volume of Box = (2x - 3)(x + 5)(3x + 1)
x = 3
=> Volume of Box = ( 2(3) - 3) (3 + 5) ( 3(3) + 1)
= ( 6 - 3)(8)(9 + 1)
= 3(8)(10)
= 240 cm³
Area of triangle = (1/2)bh
= (1/2)* 10 * 6
= 30 cm²
length (l) of the rectangle is x² + 2x-3
width (w) is 5x +4,
Perimeter = 2 ( l + w)
= 2( x² + 2x-3 + 5x + 4)
= 2( x² + 7x + 1)
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