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3 years ago

The diagram shows a square-based cuboid 10cm and 4cm work out the volume of the cuboid

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

4 0

Answer:

40cm^3

Step-by-step explanation:

volume of a cuboid formula: L*W*H

l=length

w=width

h=height

since ;length and width are already multiplied and given to us as 10, we can multiply 10 with 4 to get volume

10*4=40

40cm^3

hope this helps!

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Answer:

A.

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Given

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Required

Where and which error did the student make

Given that the angle is in the 4th quadrant;

The value of r is positive, a is positive but b is negative;

Hence;

$r = \sqrt{(a)^2 + (b)^2}$

Since a belongs to the x axis and b belongs to the y axis;

$cos\theta$ is calculated as thus

$cos\theta = \frac{a}{r}$

Substitute $r = \sqrt{(a)^2 + (b)^2}$

$cos\theta = \frac{a}{\sqrt{(a)^2 + (b)^2}}$

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Rationalize the denominator

$cos\theta = \frac{a}{\sqrt{a^2 + b^2}} * \frac{\sqrt{a^2 + b^2}}{\sqrt{a^2 + b^2}}$

$cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}$

So, from the list of given options;

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