The sum of one and the product 4 and a number z
1 answer:
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We must find the volume of a box with:
• square base with diagonal ,h = 6 cm,,
,• height ,H = 15 cm,.
1) First we compute the length of the sides of the square base.
From the diagram above, we see that the diagonal of the box constitutes the hypotenuse of a triangle of sides a. Pitagoras Theorem states that the square of the hypotenuse is equal to the sum of the squares of the other sides, so we have:
Replacing the value h = 6 cm, and solving for a², we get:
2) The volume is given by the product of height (H) and the area of the base (a²):
Answer
The volume of the box is 270 cm³.
Answer:
= 4.9 (1 dp)
Step-by-step explanation:
Use trig ratio
where is the angle, O is the side opposite the angle and H is the hypotenuse of a right triangle.
Given:
- O =
= 4
- H =
(1 dp)