Answer:
65.4 cm²
Step-by-step explanation:
The volume of a cuboid is calculated by multiplying the length, base, and height together. Since a cube has equal sides, the formula for the volume of a cuboid can be simplified as shown below.
Volume of cube
= side ×side ×side
= side³
Given that the volume is 36 cm³, let's find the length of each side.
side³= 36
Cube root both sides:
side=![\sqrt[3]{36}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B36%7D)
Total surface area of a cube is the sum of the surface areas of its 6 identical square faces.
Area of a square
= side ×side
= side²
Surface area of 1 face= ![(\sqrt[3]{36})^2](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B36%7D%29%5E2)
Total surface area
= ![6(\sqrt[3]{36} )^2](https://tex.z-dn.net/?f=6%28%5Csqrt%5B3%5D%7B36%7D%20%29%5E2)
= 65.416 (5 s.f.)
= 65.4 cm² (nearest tenth)
Additional:
To learn more about surface area of cube, do check out the following!
Answer:
See below
Step-by-step explanation:
Given there are 56 M&M's:
- Expected Value of Blue = 56(0.24) = 13.44
- Expected Value of Brown = 56(0.14) = 7.84
- Expected Value of Green = 56(0.16) = 8.96
- Expected Value of Orange = 56(0.20) = 11.20
- Expected Value of Red = 56(0.13) = 7.28
- Expected Value of Yellow = 56(0.14) = 7.84
Remember to use 
to calculate expected value! This will especially be helpful if you are conducting a chi-squared test of independence.
Answer:
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Step-by-step explanation:
The line shown is a vertical line
A vertical line has a slope of undefined
9514 1404 393
Answer:
∠BDC = 46°
Step-by-step explanation:
Angle BDC intercepts arc BC, identified as having a measure of 92°. The angle's vertex, point D, is on the circle, so the angle is called an "inscribed angle." The measure of an inscribed angle is half the measure of the arc it intercepts.
∠BDC = (1/2)arc BC = 1/2(92°)
∠BDC = 46°
