A rectangular box has the dimensions #12\times 18 \times 14# inches. What's its volume? What's its surface area?
Volume: 3024 cubed inches
SA: 1272 squared inches
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To find the volume of the rectangular box, you multiply its length, width, and height:
[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} ]
Given:
- Length (( L )) = 12 inches
- Width (( W )) = 18 inches
- Height (( H )) = 14 inches
[ \text{Volume} = 12 \times 18 \times 14 ] [ \text{Volume} = 3024 , \text{cubic inches} ]
To find the surface area of the rectangular box, you calculate the area of each of its six faces and then sum them up:
[ \text{Surface Area} = 2lw + 2lh + 2wh ]
Given:
- Length (( L )) = 12 inches
- Width (( W )) = 18 inches
- Height (( H )) = 14 inches
[ \text{Surface Area} = 2(12 \times 18) + 2(12 \times 14) + 2(18 \times 14) ] [ \text{Surface Area} = 2(216) + 2(168) + 2(252) ] [ \text{Surface Area} = 432 + 336 + 504 ] [ \text{Surface Area} = 1272 , \text{square inches} ]
So, the volume of the rectangular box is ( 3024 , \text{cubic inches} ) and its surface area is ( 1272 , \text{square inches} ).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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