The volume of a rectangular prism is (length) x (width) x (height).
The volume of the big one is (2.25) x (1.5) x (1.5) = <em>5.0625 cubic inches</em>.
The volume of the little one is (0.25)x(0.25)x(0.25)= 0.015625 cubic inch
The number of little ones needed to fill the big one is
(Volume of the big one) divided by (volume of the little one) .
5.0625 / 0.015625 = <em>324 tiny cubies</em>
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Doing it with fractions instead of decimals:
The volume of a rectangular prism is (length) x (width) x (height).
Dimensions of the big one are:
2-1/4 = 9/4
1-1/2 = 3/2
1-1/2 = 3/2
Volume = (9/4) x (3/2) x (3/2) =
(9 x 3 x 3) / (4 x 2 x 2) =
81 / 16 cubic inches.
As a mixed number: 81/16 = <em>5-1/16 cubic inches</em>
Volume of the tiny cubie = (1/4) x (1/4) x (1/4) = 1/64 cubic inch.
The number of little ones needed to fill the big one is
(Volume of the big one) divided by (volume of the little one) .
(81/16) divided by (1/64) =
(81/16) times (64/1) =
5,184/16 = <em>324 tiny cubies</em>.
Answer:
24 cm³
Step-by-step explanation:
Volume of a cylinder is three times of a cone with same measurements
volume of cone is 8cm³
then,volume of cylinder is 8 × 3 = 24
Answer:
<u>13 - 2x </u>
Step-by-step explanation:
(x +2)² + (x - 3)² - 2x²
<em>Expand.</em>
(x + 2)(x + 2) + (x - 3)(x - 3) - 2x²
x² + 2x + 2x + 4 + x² - 3x - 3x + 9 - 2x²
<em>Bring all the like terms together then simply.</em>
x² + x² - 2x² + 2x + 2x - 3x - 3x + 4 + 9
2x² - 2x² + 4x - 6x + 13
= <u>13 - 2x</u> (or <u>-2x + 13</u> )
Step-by-step explanation:
3×3 = 9, so it's greater than 3
3×4/3 = 4, so it's greater than 3
3×5/5 = 3, so it's equal to 3
3x4/9 = 4/3, so it's less than 3
3x5/6 = 5/2, so it's less than 3
