Answer:
Bottom right option
Step-by-step explanation:
5 boxes out of 6 are shaded.
The volumes of spheres are proportional to R³. So their 'R's
are proportional to ∛their volumes.
(729/ 27) = 27
∛27 = <u>exactly 3</u> . No rounding required.
I think 4. Not sure whether you’re multiplying 5 and 4. If you are, it’s 4. If you’re not multiplying them, then it’s 3.
The surface area is given by:
S.A = 2 * (area of the top) + 2 * (area of the front) + 2 * (area of one side)
Substituting values we have:
S.A = 2 * (20) + 2 * (16) + 2 * (24)
S.A = 120 cm ^ 2
Answer:
The surface area of the rectangular prism is:
S.A = 120 cm ^ 2
Answer:
Perimeter = √40 + 6 + 4√2 + √28
Step-by-step explanation:
As we know that the perimeter of a triangle is the sum of the length of sides.
<em>Perimeter = 4√2 + x + 6 + y</em>
Now for x and y-
<u>I. By Pythagorean theorem in left side right angle triangle-</u>
( 4√2)² = 2² + x²
32 - 4 = x²
x² = 28
x = √28
<u>II. By Pythagorean theorem in Right angle triangle-</u>
y² = 2² + 6²
y² = 4 + 36
y² = 40
y = √40
Hence Perimeter = 4√2 + x + 6 + y
P = 4√2 + √28 + 6 + √40
∴ P = √40 + 6 + 4√2 + √28
