What is the volume of the prism? _2 cm

Mathematics

2 answers:

julsineya [31]3 years ago

5 0

Answer

$66 {cm}^{3}$

Explanation

$volume = whl \\ = 2 \times 3 \times 11 \\ = 66 {cm}^{3} \\$

hope this helps

Brainliest Appreciated

Good luck! have a nice day!!

Nana76 [90]3 years ago

3 0

Answer:

66 cm^3

Step-by-step explanation:

based on the formula for a prism -

height * width * length

which would mean -

2 * 11 * 3

22 * 3

volume = 66 cm ^3

hope this helps!!

You might be interested in

Rewrite the fraction in the sentence below as a percentage. In 2002, a popular company made 11/20 of its money online.

Vladimir79 [104]

Answer:

55%

Step-by-step explanation:

11/20 = 0.55

0.55 = 55%

7 0

2 years ago

Find the number b such that the line y = b divides the region bounded by the curves y = 36x2 and y = 25 into two regions with eq

Gemiola [76]

Answer:

b = 15.75

Step-by-step explanation:

Lets find the interception points of the curves

36 x² = 25

x² = 25/36 = 0.69444

|x| = √(25/36) = 5/6

thus the interception points are 5/6 and -5/6. By evaluating in 0, we can conclude that the curve y=25 is above the other curve and b should be between 0 and 25 (note that 0 is the smallest value of 36 x²).

The area of the bounded region is given by the integral

$\int\limits^{5/6}_{-5/6} {(25-36 \, x^2)} \, dx = (25x - 12 \, x^3)\, |_{x=-5/6}^{x=5/6} = 25*5/6 - 12*(5/6)^3 - (25*(-5/6) - 12*(-5/6)^3) = 250/9$

The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.

$125/18 = \int\limits^{\sqrt{b}/6}_0 {(b - 36 \, x^2)} \, dx = (bx - 12 \, x^3)\, |_{x = 0}^{x=\sqrt{b}/6} = b^{1.5}/6 - b^{1.5}/18 = b^{1.5}/9$