We read your photo as:

Calculate the surface area of the cuboid shown in the image. Is the provided answer of 288 cm² correct?

Mathematics

ScanSolve AI Answer

Answer

SA=280 cm2SA = 280 \text{ cm}^2

Step-by-step solution

5 steps
  1. Identify the dimensions of the cuboid.

    From the image, the dimensions are:
    Length (ll) = 8 cm8 \text{ cm}
    Width (ww) = 9 cm9 \text{ cm}
    Height (hh) = 4 cm4 \text{ cm}

  2. Recall the formula for the surface area of a cuboid.

    The surface area SASA of a cuboid is given by the formula:

    SA=2(lw+lh+wh)SA = 2(lw + lh + wh)
  3. Substitute the dimensions into the formula.

    SA=2((8 cm×9 cm)+(8 cm×4 cm)+(9 cm×4 cm))SA = 2((8 \text{ cm} \times 9 \text{ cm}) + (8 \text{ cm} \times 4 \text{ cm}) + (9 \text{ cm} \times 4 \text{ cm}))
  4. Calculate the area of each pair of faces.

    SA=2(72 cm2+32 cm2+36 cm2)SA = 2(72 \text{ cm}^2 + 32 \text{ cm}^2 + 36 \text{ cm}^2)
  5. Sum the areas and multiply by 2.

    SA=2(140 cm2)SA = 2(140 \text{ cm}^2) SA=280 cm2SA = 280 \text{ cm}^2

    The calculated surface area is 280 cm2280 \text{ cm}^2. The provided answer in the image is 288 cm2288 \text{ cm}^2. Therefore, the provided answer is incorrect.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp