Find the volume of the solid.

Mathematics

2 answers:

goldfiish [28.3K]3 years ago

5 0

Answer:

186

Step-by-step explanation:

sorry if wrong or incorrect

lisabon 2012 [21]3 years ago

3 0

9514 1404 393

Answer:

186 cubic mm

Step-by-step explanation:

The solid can be divided using a vertical plane at the step in the top surface. That makes it into two rectangular prisms. One has dimensions (in mm) of 4×4×6, and the other has dimensions of 3×5×6. Thus the total volume, in cubic mm, is ...

4×4×6 +3×5×6 = (16 +15)×6 = 31×6 = 186 . . . mm³

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A hog producer is feeding soybean meal and corn to his pigs. He needs to know how many pounds he needs to feed of each in order

Mazyrski [523]

Answer:

Feed 1, Soybean meal required = $\dfrac{2000}{3} \text{ lbs.}$

Feed 2, Corn meal required = $\dfrac{4000}{3} \text{ lbs.}$

Step-by-step explanation:

Total feed is 1 ton i.e. 2000 lbs.

Let x be the amount of Feed 1 required.

Feed 1 has $45\%$ of protein.

$\text{Protein in Feed 1 = }x \times \dfrac{45}{100} ..... (1)$

Then, amount of Feed 2 required = $(2000 - x) \text{ lbs.}$

Feed 2 has $15\%$ of protein.

$\text{Protein in Feed 2 = }(2000 - x) \times \dfrac{15}{100} ..... (2)$

As per question, total protein required is $25\%$ of 2000 lbs .

Adding (1) and (2) and putting it equal to total protein required.

$\Rightarrow x \times \dfrac{45}{100} + (2000 - x) \times \dfrac{15}{100} = 2000 \times \dfrac{25}{100}\\\Rightarrow 45x + 30000 - 15x = 50000\\\Rightarrow 30x = 20000\\\Rightarrow x = \dfrac{2000}{3}$