What is the volume of a rectangular prism thatis 3cm by 6 cm by 5 cm?
2 answers:
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The surface area of the geometric shape is B. 840 cm².
Step-by-step explanation:
Step 1:
The given figure is made up of three rectangles and two triangles.
The surface area of the geometric shape is given by summing the individual surface areas.
The geometric shape's surface area = The sum of the individual surface areas.
Step 2:
The surface area of the rectangles is the multiplication of its length and width.
The surface area of the rectangle with length z and width x .
The surface area of the rectangle with length y and width x .
The surface area of the rectangle with length x and width x .
Step 3:
The area of a triangle is half the product of its base length and height.
The surface area of a triangle with base y and height x.
They are two similar triangles so their areas are equal
Step 4:
The geometric shape's surface area .
So the surface area is option B. 840 cm².
Answer:
x = 6
Step-by-step explanation:
Given ∠ 1 = ∠ 2 then the segment is an angle bisector and the ratios of sides to base are equal, that is
=
( cross- multiply )
x(x - 4) = 12 ← distribute left side
x² - 4x = 12 ( subtract 12 from both sides )
x² - 4x - 12 = 0 ← in standard form
(x - 6)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 2 = 0 ⇒ x = - 2
However, x > 0 , thus x = 6