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Black_prince [1.1K]
2 years ago
11

How much cubic centimeters of dirt must be removed when digging for a foundation of a building if the excavation is 32m long, 12

m wide, and 8m deep
Mathematics
1 answer:
fredd [130]2 years ago
4 0

Answer:

3,072m

Step-by-step explanation:

32 × 12× 8= 3,072 (This is only you are multiplying them all)

If you are trying to find the area then its: 384m

You might be interested in
A cube has volume 216cm find total surface area of cube​
Katena32 [7]

Answer:

Answer: 216 cm2 (square centimetres cm^{2}, in your question you had to put cm3, cubic centimetres, it's IMPORTANT )

Step-by-step explanation:

A perfect cube by definition has 3 equal dimensions, as an immediate rule: volume and total surface are equal, only the unit of measure changes (cubic for the volume, square for surface).

But let's calculate it anyway:

Volume  = Edge * Edge * Edge = length * width * depth = Edge^{3}  (remember: all edges are equal in this case)

so Edge = \sqrt[3]{Volume}

in your example Edge = \sqrt[3]{216} = 6cm

So the surface of one side is 6*6 = 36cm^{2}

There are 6 sides in total, so the total surface is 6*36 = 216 cm^{2}

Note: I call them "edges" but in case of a cube most say just "length"

3 0
3 years ago
Write each number as a power of the given base. 343; base 7
Sliva [168]
343=7×7×7
343=7³ ~~~~~~~~~~~~~~
3 0
3 years ago
In ΔABC, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 45°. Find: AC, if CD = 6√2 in.
klio [65]

Answer:

AC = 12 units.

Step-by-step explanation:

Δ ACD is right-angled. ( as CD ⊥ AB).

cos 45° = CD / AC = 6√2 / AC

AC = 6√2 / cos 45°

AC = 6√2 / 1 /√2

= 6√2 *√2

= 6 * 2

= 12   (answer)

HOPE THIS HELPED ;3

5 0
3 years ago
PLEASE HELP- Vanessa earns a base salary of $400.00 every week with an additional 5% commission on everything she sells. Vanessa
matrenka [14]
The commission is 5% on everything she sells
If she sold $1650.00
First you have to find her commission
100%=1650
5%=x
100•x=1650•5
100•x=8250
—— ———
100 100
x=82.5(this is her commission)
Now you have to add $82.5 to total she earns in the week.
$400.00+ $82.5 = $482.5
The Vanessa’s total pay last week was $482.5
7 0
3 years ago
Write the quadratic equation in factored form. x2 + x - 12 = 0
lapo4ka [179]

Answer:

(x + 4)(x - 3)

Step-by-step explanation:

x^2 + x - 12 = 0

In order to factorise an equation, one must take into consideration the factors of the values in given equation.

In the factored form, the above equation becomes

(x + 4)(x- 3)

Factors of x^2 = x times x

Factors of -12 = +4 x -3

As shown in the factored form above

7 0
3 years ago
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