The volume of the rectangular pyramid with the given dimensions is: 1,890 cubic millimeters.
<h3>What is the Volume of a Rectangular Pyramid?</h3>
Volume of rectangular pyramid = 1/3(length × width × height)
Given the following:
- Length = 21 mm
- Width = 18 mm
- Height = 15 mm
Volume of the rectangular pyramid = 1/3(21 × 18 × 15)
Volume of rectangular pyramid = 1,890 cubic millimeters.
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a) FALSE (would be TRUE if it said LN(56)-LN(7)=LN(8))
b) TRUE (because LN(x+y)-LN(x+y)=LN[(x+y)/(x+y)]=LN(1)=0)
Answer:
119.43cm^2
Step-by-step explanation:
The computation of the area of the shaded region is shown below:
As we know that
= Area of the rectangle - Area of the circle
where,
Area of rectangle is


= 132 cm^2
And, the area of the circle is

Now the area of the shaded region is

= 119.43cm^2
We simply deduct the area of the circle from the area of the rectangle so that the area of the shaded region.
Short answer: 375 grams
Remark
You only need to set up a direct proportion
Givens
flour for 12 cakes = 150 grams
Number of cakes initially = 12
Amount of flouer for 30 cakes = x
Number of cakes = 30
Proportion
amount flour for 12 cakes / 12 cakes = x / 30
Sub and solve
150 grams / 12 cakes = x / 30 cakes Cross multiply
150 * 30 = 12 *x Multiply the left side.
4500 = 12 x Divide both sides by 12
4500/12 = x
375 grams for 30 cakes. <<<<< Answer