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Aloiza [94]
3 years ago
9

Stephanie puts 30 cubes in a box. The cubes are 1 inch on each side. The box holds 2 layers with 15 cubes in each layer. What is

the volume of the box?​
Mathematics
2 answers:
kodGreya [7K]3 years ago
6 0

15x2=30 polegadas

bhyrhyhybtrhthvtt

miss Akunina [59]3 years ago
5 0

Step-by-step explanation:

Dimensions of cube = 1 in × 1in .

No. of cubes in each layer = 15 .

No. of layers = 2 .

<u>•</u><u> </u><u>Therefore</u><u> the volume of one cube :- </u>

\tt \to Volume_{(cube)}= side^3 = (1 \ in.)^3 = \red{1in.^3}

<u>•</u><u> </u><u>There</u><u>fore</u><u> </u><u>the </u><u>v</u><u>olume</u><u> </u><u>of</u><u> </u><u>one</u><u> </u><u>layer</u><u> </u><u>:</u><u>-</u>

\tt\to 1\ in.^3\times 15 =\orange{15\ in.^3}

<u>•</u><u> </u><u>There</u><u>fore</u><u> </u><u>the</u><u> </u><u>volum</u><u>e</u><u> </u><u>of</u><u> </u><u>whole</u><u> </u><u>box</u><u> </u><u>:</u><u>-</u><u> </u>

\tt\to 2\ in.^3\times 15 =\orange{30\ in.^3}

Therefore our required answer is 30 inch ³.

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Suppose Upper F Superscript prime Baseline left-parenthesis x right-parenthesis equals 3 x Superscript 2 Baseline plus 7 and Upp
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It looks like you're given

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and

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The first is done for you, <em>F</em> (0) = 5.

For the remaining <em>b</em>, you can solve for <em>F(x)</em> exactly by using the fundamental theorem of calculus:

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On the other hand, if you're expected to <em>approximate</em> <em>F</em> at the given <em>b</em>, you can use the linear approximation to <em>F(x)</em> around <em>x</em> = 0, which is

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Then <em>F</em> (0) = 5, <em>F</em> (0.1) ≈ 5.7, <em>F</em> (0.2) ≈ 6.4, <em>F</em> (0.5) ≈ 8.5, and <em>F</em> (2.0) ≈ 19. Notice how the error gets larger the further away <em>b </em>gets from 0.

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