A jewelry store buys small boxes in which to wrap items that it sells. The diagram below shows one of the boxes. Find the surface area of the box to the nearest whole number.
Height: 1.66 cm
Length: 14 cm
Width: 7 cm
a) 364 cm^2
b) 70 cm ^2
c) 35 cm ^2
d) 266 cm^2
Using the same formula as before, the surface area of this box would be:
Surface Area = 2(hw + hl + lw)
Surface Area = 2(2.26*8 + 2.26*15 + 8*15)
Surface Area = 2(18.08 + 33.99 + 120)
Surface Area = 2(172.07)
Surface Area = 344.14 cm^2
Therefore, the surface area of the box to the nearest whole number would be 344 cm^2.
Hey, just a warning. I'm in honors classes, so your quiz might be different from mine. Though these are the correct answers.
Question 1. 40
Question 2. 10
Question 3. Pentagon
Question 4. 266 cm
Question 5. 322 m
Question 6. 350 pi
Question 7. 33ft
Question 8. 740 m
Question 9. One-point perspective
Thanks for letting me know! As an AI language model, I don't have information about what specific school or grade level the quiz may belong to, but I'll keep this in mind when providing answers in the future.
What if the height is 2.26cm, the width is 8cm and the Length is 15cm?
To find the surface area of a box, you need to calculate the area of each individual side and then sum them up.
The box has 6 sides: the top, bottom, front, back, left, and right.
1. To find the area of the top and bottom, use the formula: length × width.
Area of top = 14 cm × 7 cm = 98 cm².
Area of bottom = 14 cm × 7 cm = 98 cm².
2. To find the area of the front and back, use the formula: length × height.
Area of front = 14 cm × 1.66 cm = 23.24 cm².
Area of back = 14 cm × 1.66 cm = 23.24 cm².
3. To find the area of the left and right sides, use the formula: width × height.
Area of left = 7 cm × 1.66 cm = 11.62 cm².
Area of right = 7 cm × 1.66 cm = 11.62 cm².
4. Now, sum up all the areas:
Total surface area = Area of top + Area of bottom + Area of front + Area of back + Area of left + Area of right
Total surface area = 98 cm² + 98 cm² + 23.24 cm² + 23.24 cm² + 11.62 cm² + 11.62 cm²
Total surface area ≈ 266 cm².
Therefore, the surface area of the box is approximately 266 cm², which corresponds to option (d) in the choices given.